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Finding the Third Proportional to 57,080 and 121,432

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Solution

The third proportional to 57,080 and 121,432 is: 258,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,080 : 121,432 = 121,432 : x
  2. Step 2: Convert to fraction form
    57,080/121,432 = 121,432/x
  3. Step 3: Cross multiply
    57,080x = 121,432 × 121,432
  4. Step 4: Simplify right side
    57,080x = 14,745,730,624
  5. Step 5: Solve for x
    x = 14,745,730,624/57,080
  6. Step 6: Final answer
    x = 258,334.45

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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.