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Finding the Third Proportional to 521.02 and 806.48

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Solution

The third proportional to 521.02 and 806.48 is: 1,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.02 : 806.48 = 806.48 : x
  2. Step 2: Convert to fraction form
    521.02/806.48 = 806.48/x
  3. Step 3: Cross multiply
    521.02x = 806.48 × 806.48
  4. Step 4: Simplify right side
    521.02x = 650,417.05
  5. Step 5: Solve for x
    x = 650,417.05/521.02
  6. Step 6: Final answer
    x = 1,248.36

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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.