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Finding the Third Proportional to 49,080 and 77,750

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Solution

The third proportional to 49,080 and 77,750 is: 123,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,080 : 77,750 = 77,750 : x
  2. Step 2: Convert to fraction form
    49,080/77,750 = 77,750/x
  3. Step 3: Cross multiply
    49,080x = 77,750 × 77,750
  4. Step 4: Simplify right side
    49,080x = 6,045,062,500
  5. Step 5: Solve for x
    x = 6,045,062,500/49,080
  6. Step 6: Final answer
    x = 123,167.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.