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Finding the Third Proportional to 138,596 and 223,206

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Solution

The third proportional to 138,596 and 223,206 is: 359,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,596 : 223,206 = 223,206 : x
  2. Step 2: Convert to fraction form
    138,596/223,206 = 223,206/x
  3. Step 3: Cross multiply
    138,596x = 223,206 × 223,206
  4. Step 4: Simplify right side
    138,596x = 49,820,918,436
  5. Step 5: Solve for x
    x = 49,820,918,436/138,596
  6. Step 6: Final answer
    x = 359,468.66

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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.