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Finding the Third Proportional to 371.95 and 531.28

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Solution

The third proportional to 371.95 and 531.28 is: 758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.95 : 531.28 = 531.28 : x
  2. Step 2: Convert to fraction form
    371.95/531.28 = 531.28/x
  3. Step 3: Cross multiply
    371.95x = 531.28 × 531.28
  4. Step 4: Simplify right side
    371.95x = 282,259.77
  5. Step 5: Solve for x
    x = 282,259.77/371.95
  6. Step 6: Final answer
    x = 758.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.