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Finding the Third Proportional to 61,638.75 and 131,221.13

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Solution

The third proportional to 61,638.75 and 131,221.13 is: 279,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,638.75 : 131,221.13 = 131,221.13 : x
  2. Step 2: Convert to fraction form
    61,638.75/131,221.13 = 131,221.13/x
  3. Step 3: Cross multiply
    61,638.75x = 131,221.13 × 131,221.13
  4. Step 4: Simplify right side
    61,638.75x = 17,218,983,646.27
  5. Step 5: Solve for x
    x = 17,218,983,646.27/61,638.75
  6. Step 6: Final answer
    x = 279,353.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.