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Finding the Third Proportional to 63,000 and 135,909

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Solution

The third proportional to 63,000 and 135,909 is: 293,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,000 : 135,909 = 135,909 : x
  2. Step 2: Convert to fraction form
    63,000/135,909 = 135,909/x
  3. Step 3: Cross multiply
    63,000x = 135,909 × 135,909
  4. Step 4: Simplify right side
    63,000x = 18,471,256,281
  5. Step 5: Solve for x
    x = 18,471,256,281/63,000
  6. Step 6: Final answer
    x = 293,194.54

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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.