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Finding the Third Proportional to 86,242 and 187,670

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Solution

The third proportional to 86,242 and 187,670 is: 408,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,242 : 187,670 = 187,670 : x
  2. Step 2: Convert to fraction form
    86,242/187,670 = 187,670/x
  3. Step 3: Cross multiply
    86,242x = 187,670 × 187,670
  4. Step 4: Simplify right side
    86,242x = 35,220,028,900
  5. Step 5: Solve for x
    x = 35,220,028,900/86,242
  6. Step 6: Final answer
    x = 408,386.04

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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.