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Finding the Third Proportional to 78,247.50 and 168,645

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Solution

The third proportional to 78,247.50 and 168,645 is: 363,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,247.50 : 168,645 = 168,645 : x
  2. Step 2: Convert to fraction form
    78,247.50/168,645 = 168,645/x
  3. Step 3: Cross multiply
    78,247.50x = 168,645 × 168,645
  4. Step 4: Simplify right side
    78,247.50x = 28,441,136,025
  5. Step 5: Solve for x
    x = 28,441,136,025/78,247.50
  6. Step 6: Final answer
    x = 363,476.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.