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Finding the Third Proportional to 20,123,980 and 31,381,709

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Solution

The third proportional to 20,123,980 and 31,381,709 is: 48,937,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,980 : 31,381,709 = 31,381,709 : x
  2. Step 2: Convert to fraction form
    20,123,980/31,381,709 = 31,381,709/x
  3. Step 3: Cross multiply
    20,123,980x = 31,381,709 × 31,381,709
  4. Step 4: Simplify right side
    20,123,980x = 984,811,659,760,681
  5. Step 5: Solve for x
    x = 984,811,659,760,681/20,123,980
  6. Step 6: Final answer
    x = 48,937,221.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.