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Finding the Third Proportional to 19,687,454 and 30,813,493

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Solution

The third proportional to 19,687,454 and 30,813,493 is: 48,227,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687,454 : 30,813,493 = 30,813,493 : x
  2. Step 2: Convert to fraction form
    19,687,454/30,813,493 = 30,813,493/x
  3. Step 3: Cross multiply
    19,687,454x = 30,813,493 × 30,813,493
  4. Step 4: Simplify right side
    19,687,454x = 949,471,350,861,049
  5. Step 5: Solve for x
    x = 949,471,350,861,049/19,687,454
  6. Step 6: Final answer
    x = 48,227,228.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.