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Finding the Third Proportional to 49,200.75 and 66,440.25

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Solution

The third proportional to 49,200.75 and 66,440.25 is: 89,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200.75 : 66,440.25 = 66,440.25 : x
  2. Step 2: Convert to fraction form
    49,200.75/66,440.25 = 66,440.25/x
  3. Step 3: Cross multiply
    49,200.75x = 66,440.25 × 66,440.25
  4. Step 4: Simplify right side
    49,200.75x = 4,414,306,820.06
  5. Step 5: Solve for x
    x = 4,414,306,820.06/49,200.75
  6. Step 6: Final answer
    x = 89,720.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.