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Finding the Third Proportional to 342.79 and 531.27

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Solution

The third proportional to 342.79 and 531.27 is: 823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.79 : 531.27 = 531.27 : x
  2. Step 2: Convert to fraction form
    342.79/531.27 = 531.27/x
  3. Step 3: Cross multiply
    342.79x = 531.27 × 531.27
  4. Step 4: Simplify right side
    342.79x = 282,243.42
  5. Step 5: Solve for x
    x = 282,243.42/342.79
  6. Step 6: Final answer
    x = 823.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.