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Finding the Third Proportional to 1,689.75 and 2,527.88

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Solution

The third proportional to 1,689.75 and 2,527.88 is: 3,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.75 : 2,527.88 = 2,527.88 : x
  2. Step 2: Convert to fraction form
    1,689.75/2,527.88 = 2,527.88/x
  3. Step 3: Cross multiply
    1,689.75x = 2,527.88 × 2,527.88
  4. Step 4: Simplify right side
    1,689.75x = 6,390,152.02
  5. Step 5: Solve for x
    x = 6,390,152.02/1,689.75
  6. Step 6: Final answer
    x = 3,781.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.