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Finding the Third Proportional to 138,578 and 223,166

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Solution

The third proportional to 138,578 and 223,166 is: 359,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,578 : 223,166 = 223,166 : x
  2. Step 2: Convert to fraction form
    138,578/223,166 = 223,166/x
  3. Step 3: Cross multiply
    138,578x = 223,166 × 223,166
  4. Step 4: Simplify right side
    138,578x = 49,803,063,556
  5. Step 5: Solve for x
    x = 49,803,063,556/138,578
  6. Step 6: Final answer
    x = 359,386.51

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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.