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Finding the Third Proportional to 139.88 and 260.13

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Solution

The third proportional to 139.88 and 260.13 is: 483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.88 : 260.13 = 260.13 : x
  2. Step 2: Convert to fraction form
    139.88/260.13 = 260.13/x
  3. Step 3: Cross multiply
    139.88x = 260.13 × 260.13
  4. Step 4: Simplify right side
    139.88x = 67,665.02
  5. Step 5: Solve for x
    x = 67,665.02/139.88
  6. Step 6: Final answer
    x = 483.75

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.