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Finding the Third Proportional to 63,478 and 137,891

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Solution

The third proportional to 63,478 and 137,891 is: 299,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,478 : 137,891 = 137,891 : x
  2. Step 2: Convert to fraction form
    63,478/137,891 = 137,891/x
  3. Step 3: Cross multiply
    63,478x = 137,891 × 137,891
  4. Step 4: Simplify right side
    63,478x = 19,013,927,881
  5. Step 5: Solve for x
    x = 19,013,927,881/63,478
  6. Step 6: Final answer
    x = 299,535.71

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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.