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Finding the Third Proportional to 63,415 and 137,397

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Solution

The third proportional to 63,415 and 137,397 is: 297,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,415 : 137,397 = 137,397 : x
  2. Step 2: Convert to fraction form
    63,415/137,397 = 137,397/x
  3. Step 3: Cross multiply
    63,415x = 137,397 × 137,397
  4. Step 4: Simplify right side
    63,415x = 18,877,935,609
  5. Step 5: Solve for x
    x = 18,877,935,609/63,415
  6. Step 6: Final answer
    x = 297,688.81

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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.