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Finding the Third Proportional to 118,480.50 and 260,976

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Solution

The third proportional to 118,480.50 and 260,976 is: 574,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,480.50 : 260,976 = 260,976 : x
  2. Step 2: Convert to fraction form
    118,480.50/260,976 = 260,976/x
  3. Step 3: Cross multiply
    118,480.50x = 260,976 × 260,976
  4. Step 4: Simplify right side
    118,480.50x = 68,108,472,576
  5. Step 5: Solve for x
    x = 68,108,472,576/118,480.50
  6. Step 6: Final answer
    x = 574,849.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.