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Finding the Third Proportional to 178,546,336,337 and 385,495,514,778.50

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Solution

The third proportional to 178,546,336,337 and 385,495,514,778.50 is: 832,314,988,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,546,336,337 : 385,495,514,778.50 = 385,495,514,778.50 : x
  2. Step 2: Convert to fraction form
    178,546,336,337/385,495,514,778.50 = 385,495,514,778.50/x
  3. Step 3: Cross multiply
    178,546,336,337x = 385,495,514,778.50 × 385,495,514,778.50
  4. Step 4: Simplify right side
    178,546,336,337x = 148,606,791,914,340,713,758,720
  5. Step 5: Solve for x
    x = 148,606,791,914,340,713,758,720/178,546,336,337
  6. Step 6: Final answer
    x = 832,314,988,720.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.