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Finding the Third Proportional to 78,862.50 and 168,795

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Solution

The third proportional to 78,862.50 and 168,795 is: 361,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,862.50 : 168,795 = 168,795 : x
  2. Step 2: Convert to fraction form
    78,862.50/168,795 = 168,795/x
  3. Step 3: Cross multiply
    78,862.50x = 168,795 × 168,795
  4. Step 4: Simplify right side
    78,862.50x = 28,491,752,025
  5. Step 5: Solve for x
    x = 28,491,752,025/78,862.50
  6. Step 6: Final answer
    x = 361,283.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.