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Finding the Third Proportional to 621.42 and 1,252.97

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Solution

The third proportional to 621.42 and 1,252.97 is: 2,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.42 : 1,252.97 = 1,252.97 : x
  2. Step 2: Convert to fraction form
    621.42/1,252.97 = 1,252.97/x
  3. Step 3: Cross multiply
    621.42x = 1,252.97 × 1,252.97
  4. Step 4: Simplify right side
    621.42x = 1,569,930.69
  5. Step 5: Solve for x
    x = 1,569,930.69/621.42
  6. Step 6: Final answer
    x = 2,526.35

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.