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Finding the Third Proportional to 87,540.75 and 137,181.09

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Solution

The third proportional to 87,540.75 and 137,181.09 is: 214,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,540.75 : 137,181.09 = 137,181.09 : x
  2. Step 2: Convert to fraction form
    87,540.75/137,181.09 = 137,181.09/x
  3. Step 3: Cross multiply
    87,540.75x = 137,181.09 × 137,181.09
  4. Step 4: Simplify right side
    87,540.75x = 18,818,652,482.45
  5. Step 5: Solve for x
    x = 18,818,652,482.45/87,540.75
  6. Step 6: Final answer
    x = 214,970.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.