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Finding the Third Proportional to 621.52 and 1,353.98

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Solution

The third proportional to 621.52 and 1,353.98 is: 2,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.52 : 1,353.98 = 1,353.98 : x
  2. Step 2: Convert to fraction form
    621.52/1,353.98 = 1,353.98/x
  3. Step 3: Cross multiply
    621.52x = 1,353.98 × 1,353.98
  4. Step 4: Simplify right side
    621.52x = 1,833,273.69
  5. Step 5: Solve for x
    x = 1,833,273.69/621.52
  6. Step 6: Final answer
    x = 2,949.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.