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Finding the Third Proportional to 1,572.86 and 3,422.49

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Solution

The third proportional to 1,572.86 and 3,422.49 is: 7,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.86 : 3,422.49 = 3,422.49 : x
  2. Step 2: Convert to fraction form
    1,572.86/3,422.49 = 3,422.49/x
  3. Step 3: Cross multiply
    1,572.86x = 3,422.49 × 3,422.49
  4. Step 4: Simplify right side
    1,572.86x = 11,713,452.77
  5. Step 5: Solve for x
    x = 11,713,452.77/1,572.86
  6. Step 6: Final answer
    x = 7,447.23

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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.