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Finding the Third Proportional to 325.50 and 472.88

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Solution

The third proportional to 325.50 and 472.88 is: 686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.50 : 472.88 = 472.88 : x
  2. Step 2: Convert to fraction form
    325.50/472.88 = 472.88/x
  3. Step 3: Cross multiply
    325.50x = 472.88 × 472.88
  4. Step 4: Simplify right side
    325.50x = 223,610.77
  5. Step 5: Solve for x
    x = 223,610.77/325.50
  6. Step 6: Final answer
    x = 686.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.