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Finding the Third Proportional to 425 and 472.25

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Solution

The third proportional to 425 and 472.25 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    425 : 472.25 = 472.25 : x
  2. Step 2: Convert to fraction form
    425/472.25 = 472.25/x
  3. Step 3: Cross multiply
    425x = 472.25 × 472.25
  4. Step 4: Simplify right side
    425x = 223,020.06
  5. Step 5: Solve for x
    x = 223,020.06/425
  6. Step 6: Final answer
    x = 524.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.