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Finding the Third Proportional to 86,454 and 187,668

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Solution

The third proportional to 86,454 and 187,668 is: 407,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,454 : 187,668 = 187,668 : x
  2. Step 2: Convert to fraction form
    86,454/187,668 = 187,668/x
  3. Step 3: Cross multiply
    86,454x = 187,668 × 187,668
  4. Step 4: Simplify right side
    86,454x = 35,219,278,224
  5. Step 5: Solve for x
    x = 35,219,278,224/86,454
  6. Step 6: Final answer
    x = 407,375.93

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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.