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Finding the Third Proportional to 138,894.75 and 223,651.13

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Solution

The third proportional to 138,894.75 and 223,651.13 is: 360,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894.75 : 223,651.13 = 223,651.13 : x
  2. Step 2: Convert to fraction form
    138,894.75/223,651.13 = 223,651.13/x
  3. Step 3: Cross multiply
    138,894.75x = 223,651.13 × 223,651.13
  4. Step 4: Simplify right side
    138,894.75x = 50,019,825,713.77
  5. Step 5: Solve for x
    x = 50,019,825,713.77/138,894.75
  6. Step 6: Final answer
    x = 360,127.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.