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Finding the Third Proportional to 63,499 and 135,745

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Solution

The third proportional to 63,499 and 135,745 is: 290,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,499 : 135,745 = 135,745 : x
  2. Step 2: Convert to fraction form
    63,499/135,745 = 135,745/x
  3. Step 3: Cross multiply
    63,499x = 135,745 × 135,745
  4. Step 4: Simplify right side
    63,499x = 18,426,705,025
  5. Step 5: Solve for x
    x = 18,426,705,025/63,499
  6. Step 6: Final answer
    x = 290,188.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.