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Finding the Third Proportional to 86,872.50 and 187,503.75

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Solution

The third proportional to 86,872.50 and 187,503.75 is: 404,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,872.50 : 187,503.75 = 187,503.75 : x
  2. Step 2: Convert to fraction form
    86,872.50/187,503.75 = 187,503.75/x
  3. Step 3: Cross multiply
    86,872.50x = 187,503.75 × 187,503.75
  4. Step 4: Simplify right side
    86,872.50x = 35,157,656,264.06
  5. Step 5: Solve for x
    x = 35,157,656,264.06/86,872.50
  6. Step 6: Final answer
    x = 404,704.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.