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Finding the Third Proportional to 62,406 and 135,909

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Solution

The third proportional to 62,406 and 135,909 is: 295,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,406 : 135,909 = 135,909 : x
  2. Step 2: Convert to fraction form
    62,406/135,909 = 135,909/x
  3. Step 3: Cross multiply
    62,406x = 135,909 × 135,909
  4. Step 4: Simplify right side
    62,406x = 18,471,256,281
  5. Step 5: Solve for x
    x = 18,471,256,281/62,406
  6. Step 6: Final answer
    x = 295,985.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.