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Finding the Third Proportional to 78,340.50 and 172,233

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Solution

The third proportional to 78,340.50 and 172,233 is: 378,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,340.50 : 172,233 = 172,233 : x
  2. Step 2: Convert to fraction form
    78,340.50/172,233 = 172,233/x
  3. Step 3: Cross multiply
    78,340.50x = 172,233 × 172,233
  4. Step 4: Simplify right side
    78,340.50x = 29,664,206,289
  5. Step 5: Solve for x
    x = 29,664,206,289/78,340.50
  6. Step 6: Final answer
    x = 378,657.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.