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Finding the Third Proportional to 121,176.75 and 257,115

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Solution

The third proportional to 121,176.75 and 257,115 is: 545,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,176.75 : 257,115 = 257,115 : x
  2. Step 2: Convert to fraction form
    121,176.75/257,115 = 257,115/x
  3. Step 3: Cross multiply
    121,176.75x = 257,115 × 257,115
  4. Step 4: Simplify right side
    121,176.75x = 66,108,123,225
  5. Step 5: Solve for x
    x = 66,108,123,225/121,176.75
  6. Step 6: Final answer
    x = 545,551.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.