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Finding the Third Proportional to 308,645,856 and 665,752,716

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Solution

The third proportional to 308,645,856 and 665,752,716 is: 1,436,036,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,645,856 : 665,752,716 = 665,752,716 : x
  2. Step 2: Convert to fraction form
    308,645,856/665,752,716 = 665,752,716/x
  3. Step 3: Cross multiply
    308,645,856x = 665,752,716 × 665,752,716
  4. Step 4: Simplify right side
    308,645,856x = 443,226,678,861,376,640
  5. Step 5: Solve for x
    x = 443,226,678,861,376,640/308,645,856
  6. Step 6: Final answer
    x = 1,436,036,383.59

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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.