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Finding the Third Proportional to 81,812,505 and 176,604,718

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Solution

The third proportional to 81,812,505 and 176,604,718 is: 381,228,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812,505 : 176,604,718 = 176,604,718 : x
  2. Step 2: Convert to fraction form
    81,812,505/176,604,718 = 176,604,718/x
  3. Step 3: Cross multiply
    81,812,505x = 176,604,718 × 176,604,718
  4. Step 4: Simplify right side
    81,812,505x = 31,189,226,419,859,524
  5. Step 5: Solve for x
    x = 31,189,226,419,859,524/81,812,505
  6. Step 6: Final answer
    x = 381,228,107.12

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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.