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Finding the Third Proportional to 86,240 and 187,666

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Solution

The third proportional to 86,240 and 187,666 is: 408,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,240 : 187,666 = 187,666 : x
  2. Step 2: Convert to fraction form
    86,240/187,666 = 187,666/x
  3. Step 3: Cross multiply
    86,240x = 187,666 × 187,666
  4. Step 4: Simplify right side
    86,240x = 35,218,527,556
  5. Step 5: Solve for x
    x = 35,218,527,556/86,240
  6. Step 6: Final answer
    x = 408,378.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.