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Finding the Third Proportional to 57,270.75 and 87,121.50

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Solution

The third proportional to 57,270.75 and 87,121.50 is: 132,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,270.75 : 87,121.50 = 87,121.50 : x
  2. Step 2: Convert to fraction form
    57,270.75/87,121.50 = 87,121.50/x
  3. Step 3: Cross multiply
    57,270.75x = 87,121.50 × 87,121.50
  4. Step 4: Simplify right side
    57,270.75x = 7,590,155,762.25
  5. Step 5: Solve for x
    x = 7,590,155,762.25/57,270.75
  6. Step 6: Final answer
    x = 132,531.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.