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Finding the Third Proportional to 531.42 and 814.08

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Solution

The third proportional to 531.42 and 814.08 is: 1,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.42 : 814.08 = 814.08 : x
  2. Step 2: Convert to fraction form
    531.42/814.08 = 814.08/x
  3. Step 3: Cross multiply
    531.42x = 814.08 × 814.08
  4. Step 4: Simplify right side
    531.42x = 662,723.19
  5. Step 5: Solve for x
    x = 662,723.19/531.42
  6. Step 6: Final answer
    x = 1,247.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.