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Finding the Third Proportional to 138,793.29 and 209,216.04

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Solution

The third proportional to 138,793.29 and 209,216.04 is: 315,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,793.29 : 209,216.04 = 209,216.04 : x
  2. Step 2: Convert to fraction form
    138,793.29/209,216.04 = 209,216.04/x
  3. Step 3: Cross multiply
    138,793.29x = 209,216.04 × 209,216.04
  4. Step 4: Simplify right side
    138,793.29x = 43,771,351,001.00
  5. Step 5: Solve for x
    x = 43,771,351,001.00/138,793.29
  6. Step 6: Final answer
    x = 315,370.80

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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.