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Finding the Third Proportional to 81,817,902 and 181,797,120

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Solution

The third proportional to 81,817,902 and 181,797,120 is: 403,948,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817,902 : 181,797,120 = 181,797,120 : x
  2. Step 2: Convert to fraction form
    81,817,902/181,797,120 = 181,797,120/x
  3. Step 3: Cross multiply
    81,817,902x = 181,797,120 × 181,797,120
  4. Step 4: Simplify right side
    81,817,902x = 33,050,192,840,294,400
  5. Step 5: Solve for x
    x = 33,050,192,840,294,400/81,817,902
  6. Step 6: Final answer
    x = 403,948,182.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.