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Finding the Third Proportional to 65,478.38 and 139,542.75

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Solution

The third proportional to 65,478.38 and 139,542.75 is: 297,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478.38 : 139,542.75 = 139,542.75 : x
  2. Step 2: Convert to fraction form
    65,478.38/139,542.75 = 139,542.75/x
  3. Step 3: Cross multiply
    65,478.38x = 139,542.75 × 139,542.75
  4. Step 4: Simplify right side
    65,478.38x = 19,472,179,077.56
  5. Step 5: Solve for x
    x = 19,472,179,077.56/65,478.38
  6. Step 6: Final answer
    x = 297,383.36

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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.