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Finding the Third Proportional to 63,489 and 136,533

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Solution

The third proportional to 63,489 and 136,533 is: 293,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,489 : 136,533 = 136,533 : x
  2. Step 2: Convert to fraction form
    63,489/136,533 = 136,533/x
  3. Step 3: Cross multiply
    63,489x = 136,533 × 136,533
  4. Step 4: Simplify right side
    63,489x = 18,641,260,089
  5. Step 5: Solve for x
    x = 18,641,260,089/63,489
  6. Step 6: Final answer
    x = 293,614.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.