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Finding the Third Proportional to 180,320 and 385,656

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Solution

The third proportional to 180,320 and 385,656 is: 824,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,320 : 385,656 = 385,656 : x
  2. Step 2: Convert to fraction form
    180,320/385,656 = 385,656/x
  3. Step 3: Cross multiply
    180,320x = 385,656 × 385,656
  4. Step 4: Simplify right side
    180,320x = 148,730,550,336
  5. Step 5: Solve for x
    x = 148,730,550,336/180,320
  6. Step 6: Final answer
    x = 824,814.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.