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Finding the Third Proportional to 531.19 and 820.41

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Solution

The third proportional to 531.19 and 820.41 is: 1,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.19 : 820.41 = 820.41 : x
  2. Step 2: Convert to fraction form
    531.19/820.41 = 820.41/x
  3. Step 3: Cross multiply
    531.19x = 820.41 × 820.41
  4. Step 4: Simplify right side
    531.19x = 673,066.42
  5. Step 5: Solve for x
    x = 673,066.42/531.19
  6. Step 6: Final answer
    x = 1,267.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.