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Finding the Third Proportional to 48,860 and 77,431

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Solution

The third proportional to 48,860 and 77,431 is: 122,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,860 : 77,431 = 77,431 : x
  2. Step 2: Convert to fraction form
    48,860/77,431 = 77,431/x
  3. Step 3: Cross multiply
    48,860x = 77,431 × 77,431
  4. Step 4: Simplify right side
    48,860x = 5,995,559,761
  5. Step 5: Solve for x
    x = 5,995,559,761/48,860
  6. Step 6: Final answer
    x = 122,708.96

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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.