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Finding the Third Proportional to 61,940 and 135,910

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Solution

The third proportional to 61,940 and 135,910 is: 298,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,940 : 135,910 = 135,910 : x
  2. Step 2: Convert to fraction form
    61,940/135,910 = 135,910/x
  3. Step 3: Cross multiply
    61,940x = 135,910 × 135,910
  4. Step 4: Simplify right side
    61,940x = 18,471,528,100
  5. Step 5: Solve for x
    x = 18,471,528,100/61,940
  6. Step 6: Final answer
    x = 298,216.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.