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Finding the Third Proportional to 535.25 and 761.88

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Solution

The third proportional to 535.25 and 761.88 is: 1,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.25 : 761.88 = 761.88 : x
  2. Step 2: Convert to fraction form
    535.25/761.88 = 761.88/x
  3. Step 3: Cross multiply
    535.25x = 761.88 × 761.88
  4. Step 4: Simplify right side
    535.25x = 580,453.52
  5. Step 5: Solve for x
    x = 580,453.52/535.25
  6. Step 6: Final answer
    x = 1,084.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.