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Finding the Third Proportional to 87,409 and 191,666

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Solution

The third proportional to 87,409 and 191,666 is: 420,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,409 : 191,666 = 191,666 : x
  2. Step 2: Convert to fraction form
    87,409/191,666 = 191,666/x
  3. Step 3: Cross multiply
    87,409x = 191,666 × 191,666
  4. Step 4: Simplify right side
    87,409x = 36,735,855,556
  5. Step 5: Solve for x
    x = 36,735,855,556/87,409
  6. Step 6: Final answer
    x = 420,275.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.