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Finding the Third Proportional to 62,880 and 135,121.50

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Solution

The third proportional to 62,880 and 135,121.50 is: 290,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,880 : 135,121.50 = 135,121.50 : x
  2. Step 2: Convert to fraction form
    62,880/135,121.50 = 135,121.50/x
  3. Step 3: Cross multiply
    62,880x = 135,121.50 × 135,121.50
  4. Step 4: Simplify right side
    62,880x = 18,257,819,762.25
  5. Step 5: Solve for x
    x = 18,257,819,762.25/62,880
  6. Step 6: Final answer
    x = 290,359.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.