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Finding the Third Proportional to 432.25 and 567.38

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Solution

The third proportional to 432.25 and 567.38 is: 744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 567.38 = 567.38 : x
  2. Step 2: Convert to fraction form
    432.25/567.38 = 567.38/x
  3. Step 3: Cross multiply
    432.25x = 567.38 × 567.38
  4. Step 4: Simplify right side
    432.25x = 321,914.39
  5. Step 5: Solve for x
    x = 321,914.39/432.25
  6. Step 6: Final answer
    x = 744.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.