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Finding the Third Proportional to 763.80 and 1,572.86

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Solution

The third proportional to 763.80 and 1,572.86 is: 3,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.80 : 1,572.86 = 1,572.86 : x
  2. Step 2: Convert to fraction form
    763.80/1,572.86 = 1,572.86/x
  3. Step 3: Cross multiply
    763.80x = 1,572.86 × 1,572.86
  4. Step 4: Simplify right side
    763.80x = 2,473,874.33
  5. Step 5: Solve for x
    x = 2,473,874.33/763.80
  6. Step 6: Final answer
    x = 3,238.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.