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Finding the Third Proportional to 1,577.29 and 2,211.68

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Solution

The third proportional to 1,577.29 and 2,211.68 is: 3,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.29 : 2,211.68 = 2,211.68 : x
  2. Step 2: Convert to fraction form
    1,577.29/2,211.68 = 2,211.68/x
  3. Step 3: Cross multiply
    1,577.29x = 2,211.68 × 2,211.68
  4. Step 4: Simplify right side
    1,577.29x = 4,891,527.04
  5. Step 5: Solve for x
    x = 4,891,527.04/1,577.29
  6. Step 6: Final answer
    x = 3,101.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.