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Finding the Third Proportional to 61,830 and 135,081

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Solution

The third proportional to 61,830 and 135,081 is: 295,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830 : 135,081 = 135,081 : x
  2. Step 2: Convert to fraction form
    61,830/135,081 = 135,081/x
  3. Step 3: Cross multiply
    61,830x = 135,081 × 135,081
  4. Step 4: Simplify right side
    61,830x = 18,246,876,561
  5. Step 5: Solve for x
    x = 18,246,876,561/61,830
  6. Step 6: Final answer
    x = 295,113.64

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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.