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Finding the Third Proportional to 424.88 and 584.91

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Solution

The third proportional to 424.88 and 584.91 is: 805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.88 : 584.91 = 584.91 : x
  2. Step 2: Convert to fraction form
    424.88/584.91 = 584.91/x
  3. Step 3: Cross multiply
    424.88x = 584.91 × 584.91
  4. Step 4: Simplify right side
    424.88x = 342,115.32
  5. Step 5: Solve for x
    x = 342,115.32/424.88
  6. Step 6: Final answer
    x = 805.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.