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Finding the Third Proportional to 420.75 and 532.25

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Solution

The third proportional to 420.75 and 532.25 is: 673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.75 : 532.25 = 532.25 : x
  2. Step 2: Convert to fraction form
    420.75/532.25 = 532.25/x
  3. Step 3: Cross multiply
    420.75x = 532.25 × 532.25
  4. Step 4: Simplify right side
    420.75x = 283,290.06
  5. Step 5: Solve for x
    x = 283,290.06/420.75
  6. Step 6: Final answer
    x = 673.30

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.