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Finding the Third Proportional to 284.72 and 425.28

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Solution

The third proportional to 284.72 and 425.28 is: 635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 425.28 = 425.28 : x
  2. Step 2: Convert to fraction form
    284.72/425.28 = 425.28/x
  3. Step 3: Cross multiply
    284.72x = 425.28 × 425.28
  4. Step 4: Simplify right side
    284.72x = 180,862.79
  5. Step 5: Solve for x
    x = 180,862.79/284.72
  6. Step 6: Final answer
    x = 635.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.