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Finding the Third Proportional to 19,687,449 and 30,813,486

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Solution

The third proportional to 19,687,449 and 30,813,486 is: 48,227,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687,449 : 30,813,486 = 30,813,486 : x
  2. Step 2: Convert to fraction form
    19,687,449/30,813,486 = 30,813,486/x
  3. Step 3: Cross multiply
    19,687,449x = 30,813,486 × 30,813,486
  4. Step 4: Simplify right side
    19,687,449x = 949,470,919,472,196
  5. Step 5: Solve for x
    x = 949,470,919,472,196/19,687,449
  6. Step 6: Final answer
    x = 48,227,219.25

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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.