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Finding the Third Proportional to 86,518.50 and 187,725

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Solution

The third proportional to 86,518.50 and 187,725 is: 407,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,518.50 : 187,725 = 187,725 : x
  2. Step 2: Convert to fraction form
    86,518.50/187,725 = 187,725/x
  3. Step 3: Cross multiply
    86,518.50x = 187,725 × 187,725
  4. Step 4: Simplify right side
    86,518.50x = 35,240,675,625
  5. Step 5: Solve for x
    x = 35,240,675,625/86,518.50
  6. Step 6: Final answer
    x = 407,319.54

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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.