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Finding the Third Proportional to 63,911 and 137,839

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Solution

The third proportional to 63,911 and 137,839 is: 297,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,911 : 137,839 = 137,839 : x
  2. Step 2: Convert to fraction form
    63,911/137,839 = 137,839/x
  3. Step 3: Cross multiply
    63,911x = 137,839 × 137,839
  4. Step 4: Simplify right side
    63,911x = 18,999,589,921
  5. Step 5: Solve for x
    x = 18,999,589,921/63,911
  6. Step 6: Final answer
    x = 297,282.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.