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Finding the Third Proportional to 65,068 and 138,560

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Solution

The third proportional to 65,068 and 138,560 is: 295,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,068 : 138,560 = 138,560 : x
  2. Step 2: Convert to fraction form
    65,068/138,560 = 138,560/x
  3. Step 3: Cross multiply
    65,068x = 138,560 × 138,560
  4. Step 4: Simplify right side
    65,068x = 19,198,873,600
  5. Step 5: Solve for x
    x = 19,198,873,600/65,068
  6. Step 6: Final answer
    x = 295,058.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.