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Finding the Third Proportional to 77,313,318 and 108,146,217

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Solution

The third proportional to 77,313,318 and 108,146,217 is: 151,275,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,313,318 : 108,146,217 = 108,146,217 : x
  2. Step 2: Convert to fraction form
    77,313,318/108,146,217 = 108,146,217/x
  3. Step 3: Cross multiply
    77,313,318x = 108,146,217 × 108,146,217
  4. Step 4: Simplify right side
    77,313,318x = 11,695,604,251,411,088
  5. Step 5: Solve for x
    x = 11,695,604,251,411,088/77,313,318
  6. Step 6: Final answer
    x = 151,275,414.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.