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Finding the Third Proportional to 61,120 and 133,760

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Solution

The third proportional to 61,120 and 133,760 is: 292,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,120 : 133,760 = 133,760 : x
  2. Step 2: Convert to fraction form
    61,120/133,760 = 133,760/x
  3. Step 3: Cross multiply
    61,120x = 133,760 × 133,760
  4. Step 4: Simplify right side
    61,120x = 17,891,737,600
  5. Step 5: Solve for x
    x = 17,891,737,600/61,120
  6. Step 6: Final answer
    x = 292,731.31

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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.