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Finding the Third Proportional to 86,463 and 187,686

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Solution

The third proportional to 86,463 and 187,686 is: 407,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,463 : 187,686 = 187,686 : x
  2. Step 2: Convert to fraction form
    86,463/187,686 = 187,686/x
  3. Step 3: Cross multiply
    86,463x = 187,686 × 187,686
  4. Step 4: Simplify right side
    86,463x = 35,226,034,596
  5. Step 5: Solve for x
    x = 35,226,034,596/86,463
  6. Step 6: Final answer
    x = 407,411.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.