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Finding the Third Proportional to 78,930,086 and 166,497,742

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Solution

The third proportional to 78,930,086 and 166,497,742 is: 351,215,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,930,086 : 166,497,742 = 166,497,742 : x
  2. Step 2: Convert to fraction form
    78,930,086/166,497,742 = 166,497,742/x
  3. Step 3: Cross multiply
    78,930,086x = 166,497,742 × 166,497,742
  4. Step 4: Simplify right side
    78,930,086x = 27,721,498,091,098,564
  5. Step 5: Solve for x
    x = 27,721,498,091,098,564/78,930,086
  6. Step 6: Final answer
    x = 351,215,860.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.