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Finding the Third Proportional to 643.57 and 1,251.07

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Solution

The third proportional to 643.57 and 1,251.07 is: 2,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.57 : 1,251.07 = 1,251.07 : x
  2. Step 2: Convert to fraction form
    643.57/1,251.07 = 1,251.07/x
  3. Step 3: Cross multiply
    643.57x = 1,251.07 × 1,251.07
  4. Step 4: Simplify right side
    643.57x = 1,565,176.93
  5. Step 5: Solve for x
    x = 1,565,176.93/643.57
  6. Step 6: Final answer
    x = 2,432.02

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.