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Finding the Third Proportional to 84,138,894 and 125,744,605.50

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Solution

The third proportional to 84,138,894 and 125,744,605.50 is: 187,923,860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138,894 : 125,744,605.50 = 125,744,605.50 : x
  2. Step 2: Convert to fraction form
    84,138,894/125,744,605.50 = 125,744,605.50/x
  3. Step 3: Cross multiply
    84,138,894x = 125,744,605.50 × 125,744,605.50
  4. Step 4: Simplify right side
    84,138,894x = 15,811,705,812,350,630
  5. Step 5: Solve for x
    x = 15,811,705,812,350,630/84,138,894
  6. Step 6: Final answer
    x = 187,923,860.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.