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Finding the Third Proportional to 78,073.31 and 167,986.13

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Solution

The third proportional to 78,073.31 and 167,986.13 is: 361,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.31 : 167,986.13 = 167,986.13 : x
  2. Step 2: Convert to fraction form
    78,073.31/167,986.13 = 167,986.13/x
  3. Step 3: Cross multiply
    78,073.31x = 167,986.13 × 167,986.13
  4. Step 4: Simplify right side
    78,073.31x = 28,219,338,192.52
  5. Step 5: Solve for x
    x = 28,219,338,192.52/78,073.31
  6. Step 6: Final answer
    x = 361,446.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.