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Finding the Third Proportional to 86,997 and 115,672.50

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Solution

The third proportional to 86,997 and 115,672.50 is: 153,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,997 : 115,672.50 = 115,672.50 : x
  2. Step 2: Convert to fraction form
    86,997/115,672.50 = 115,672.50/x
  3. Step 3: Cross multiply
    86,997x = 115,672.50 × 115,672.50
  4. Step 4: Simplify right side
    86,997x = 13,380,127,256.25
  5. Step 5: Solve for x
    x = 13,380,127,256.25/86,997
  6. Step 6: Final answer
    x = 153,799.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.