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Finding the Third Proportional to 81,211.75 and 124,987.25

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Solution

The third proportional to 81,211.75 and 124,987.25 is: 192,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,211.75 : 124,987.25 = 124,987.25 : x
  2. Step 2: Convert to fraction form
    81,211.75/124,987.25 = 124,987.25/x
  3. Step 3: Cross multiply
    81,211.75x = 124,987.25 × 124,987.25
  4. Step 4: Simplify right side
    81,211.75x = 15,621,812,662.56
  5. Step 5: Solve for x
    x = 15,621,812,662.56/81,211.75
  6. Step 6: Final answer
    x = 192,359.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.