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Finding the Third Proportional to 78,391.13 and 118,321.17

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Solution

The third proportional to 78,391.13 and 118,321.17 is: 178,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,391.13 : 118,321.17 = 118,321.17 : x
  2. Step 2: Convert to fraction form
    78,391.13/118,321.17 = 118,321.17/x
  3. Step 3: Cross multiply
    78,391.13x = 118,321.17 × 118,321.17
  4. Step 4: Simplify right side
    78,391.13x = 13,999,899,713.87
  5. Step 5: Solve for x
    x = 13,999,899,713.87/78,391.13
  6. Step 6: Final answer
    x = 178,590.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.