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Finding the Third Proportional to 13,878,438 and 30,073,691

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Solution

The third proportional to 13,878,438 and 30,073,691 is: 65,167,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878,438 : 30,073,691 = 30,073,691 : x
  2. Step 2: Convert to fraction form
    13,878,438/30,073,691 = 30,073,691/x
  3. Step 3: Cross multiply
    13,878,438x = 30,073,691 × 30,073,691
  4. Step 4: Simplify right side
    13,878,438x = 904,426,890,363,481
  5. Step 5: Solve for x
    x = 904,426,890,363,481/13,878,438
  6. Step 6: Final answer
    x = 65,167,772.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.