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Finding the Third Proportional to 60,122 and 138,569

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Solution

The third proportional to 60,122 and 138,569 is: 319,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,122 : 138,569 = 138,569 : x
  2. Step 2: Convert to fraction form
    60,122/138,569 = 138,569/x
  3. Step 3: Cross multiply
    60,122x = 138,569 × 138,569
  4. Step 4: Simplify right side
    60,122x = 19,201,367,761
  5. Step 5: Solve for x
    x = 19,201,367,761/60,122
  6. Step 6: Final answer
    x = 319,373.40

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.