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Finding the Third Proportional to 61,980 and 135,480

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Solution

The third proportional to 61,980 and 135,480 is: 296,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,980 : 135,480 = 135,480 : x
  2. Step 2: Convert to fraction form
    61,980/135,480 = 135,480/x
  3. Step 3: Cross multiply
    61,980x = 135,480 × 135,480
  4. Step 4: Simplify right side
    61,980x = 18,354,830,400
  5. Step 5: Solve for x
    x = 18,354,830,400/61,980
  6. Step 6: Final answer
    x = 296,141.18

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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.