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Finding the Third Proportional to 178,741,280 and 385,698,736

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Solution

The third proportional to 178,741,280 and 385,698,736 is: 832,284,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,741,280 : 385,698,736 = 385,698,736 : x
  2. Step 2: Convert to fraction form
    178,741,280/385,698,736 = 385,698,736/x
  3. Step 3: Cross multiply
    178,741,280x = 385,698,736 × 385,698,736
  4. Step 4: Simplify right side
    178,741,280x = 148,763,514,951,997,696
  5. Step 5: Solve for x
    x = 148,763,514,951,997,696/178,741,280
  6. Step 6: Final answer
    x = 832,284,041.78

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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.