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Finding the Third Proportional to 86,454 and 187,674

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Solution

The third proportional to 86,454 and 187,674 is: 407,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,454 : 187,674 = 187,674 : x
  2. Step 2: Convert to fraction form
    86,454/187,674 = 187,674/x
  3. Step 3: Cross multiply
    86,454x = 187,674 × 187,674
  4. Step 4: Simplify right side
    86,454x = 35,221,530,276
  5. Step 5: Solve for x
    x = 35,221,530,276/86,454
  6. Step 6: Final answer
    x = 407,401.97

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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.