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Finding the Third Proportional to 175.87 and 280.10

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Solution

The third proportional to 175.87 and 280.10 is: 446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.87 : 280.10 = 280.10 : x
  2. Step 2: Convert to fraction form
    175.87/280.10 = 280.10/x
  3. Step 3: Cross multiply
    175.87x = 280.10 × 280.10
  4. Step 4: Simplify right side
    175.87x = 78,455.24
  5. Step 5: Solve for x
    x = 78,455.24/175.87
  6. Step 6: Final answer
    x = 446.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.