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Finding the Third Proportional to 109,717.50 and 169,132.50

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Solution

The third proportional to 109,717.50 and 169,132.50 is: 260,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717.50 : 169,132.50 = 169,132.50 : x
  2. Step 2: Convert to fraction form
    109,717.50/169,132.50 = 169,132.50/x
  3. Step 3: Cross multiply
    109,717.50x = 169,132.50 × 169,132.50
  4. Step 4: Simplify right side
    109,717.50x = 28,605,802,556.25
  5. Step 5: Solve for x
    x = 28,605,802,556.25/109,717.50
  6. Step 6: Final answer
    x = 260,722.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.