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Finding the Third Proportional to 65,670 and 139,542

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Solution

The third proportional to 65,670 and 139,542 is: 296,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,670 : 139,542 = 139,542 : x
  2. Step 2: Convert to fraction form
    65,670/139,542 = 139,542/x
  3. Step 3: Cross multiply
    65,670x = 139,542 × 139,542
  4. Step 4: Simplify right side
    65,670x = 19,471,969,764
  5. Step 5: Solve for x
    x = 19,471,969,764/65,670
  6. Step 6: Final answer
    x = 296,512.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.