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Finding the Third Proportional to 86,665,387 and 176,357,493

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Solution

The third proportional to 86,665,387 and 176,357,493 is: 358,874,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,665,387 : 176,357,493 = 176,357,493 : x
  2. Step 2: Convert to fraction form
    86,665,387/176,357,493 = 176,357,493/x
  3. Step 3: Cross multiply
    86,665,387x = 176,357,493 × 176,357,493
  4. Step 4: Simplify right side
    86,665,387x = 31,101,965,337,245,048
  5. Step 5: Solve for x
    x = 31,101,965,337,245,048/86,665,387
  6. Step 6: Final answer
    x = 358,874,129.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.