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Finding the Third Proportional to 60,022 and 128,939

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Solution

The third proportional to 60,022 and 128,939 is: 276,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,022 : 128,939 = 128,939 : x
  2. Step 2: Convert to fraction form
    60,022/128,939 = 128,939/x
  3. Step 3: Cross multiply
    60,022x = 128,939 × 128,939
  4. Step 4: Simplify right side
    60,022x = 16,625,265,721
  5. Step 5: Solve for x
    x = 16,625,265,721/60,022
  6. Step 6: Final answer
    x = 276,986.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.