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Finding the Third Proportional to 81,652,951 and 120,948,802

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Solution

The third proportional to 81,652,951 and 120,948,802 is: 179,155,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,652,951 : 120,948,802 = 120,948,802 : x
  2. Step 2: Convert to fraction form
    81,652,951/120,948,802 = 120,948,802/x
  3. Step 3: Cross multiply
    81,652,951x = 120,948,802 × 120,948,802
  4. Step 4: Simplify right side
    81,652,951x = 14,628,612,705,235,204
  5. Step 5: Solve for x
    x = 14,628,612,705,235,204/81,652,951
  6. Step 6: Final answer
    x = 179,155,958.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.