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Finding the Third Proportional to 86,170.50 and 124,112.25

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Solution

The third proportional to 86,170.50 and 124,112.25 is: 178,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,170.50 : 124,112.25 = 124,112.25 : x
  2. Step 2: Convert to fraction form
    86,170.50/124,112.25 = 124,112.25/x
  3. Step 3: Cross multiply
    86,170.50x = 124,112.25 × 124,112.25
  4. Step 4: Simplify right side
    86,170.50x = 15,403,850,600.06
  5. Step 5: Solve for x
    x = 15,403,850,600.06/86,170.50
  6. Step 6: Final answer
    x = 178,760.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.