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Finding the Third Proportional to 63,261 and 129,681

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Solution

The third proportional to 63,261 and 129,681 is: 265,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,261 : 129,681 = 129,681 : x
  2. Step 2: Convert to fraction form
    63,261/129,681 = 129,681/x
  3. Step 3: Cross multiply
    63,261x = 129,681 × 129,681
  4. Step 4: Simplify right side
    63,261x = 16,817,161,761
  5. Step 5: Solve for x
    x = 16,817,161,761/63,261
  6. Step 6: Final answer
    x = 265,837.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.