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Finding the Third Proportional to 38,653,864 and 82,840,909

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Solution

The third proportional to 38,653,864 and 82,840,909 is: 177,540,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653,864 : 82,840,909 = 82,840,909 : x
  2. Step 2: Convert to fraction form
    38,653,864/82,840,909 = 82,840,909/x
  3. Step 3: Cross multiply
    38,653,864x = 82,840,909 × 82,840,909
  4. Step 4: Simplify right side
    38,653,864x = 6,862,616,203,946,281
  5. Step 5: Solve for x
    x = 6,862,616,203,946,281/38,653,864
  6. Step 6: Final answer
    x = 177,540,237.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.