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Finding the Third Proportional to 60,040 and 138,983

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Solution

The third proportional to 60,040 and 138,983 is: 321,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,040 : 138,983 = 138,983 : x
  2. Step 2: Convert to fraction form
    60,040/138,983 = 138,983/x
  3. Step 3: Cross multiply
    60,040x = 138,983 × 138,983
  4. Step 4: Simplify right side
    60,040x = 19,316,274,289
  5. Step 5: Solve for x
    x = 19,316,274,289/60,040
  6. Step 6: Final answer
    x = 321,723.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.