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Finding the Third Proportional to 83,500,134 and 172,728,009

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Solution

The third proportional to 83,500,134 and 172,728,009 is: 357,304,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,500,134 : 172,728,009 = 172,728,009 : x
  2. Step 2: Convert to fraction form
    83,500,134/172,728,009 = 172,728,009/x
  3. Step 3: Cross multiply
    83,500,134x = 172,728,009 × 172,728,009
  4. Step 4: Simplify right side
    83,500,134x = 29,834,965,093,104,080
  5. Step 5: Solve for x
    x = 29,834,965,093,104,080/83,500,134
  6. Step 6: Final answer
    x = 357,304,397.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.