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Finding the Third Proportional to 1,275.12 and 2,689.45

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Solution

The third proportional to 1,275.12 and 2,689.45 is: 5,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.12 : 2,689.45 = 2,689.45 : x
  2. Step 2: Convert to fraction form
    1,275.12/2,689.45 = 2,689.45/x
  3. Step 3: Cross multiply
    1,275.12x = 2,689.45 × 2,689.45
  4. Step 4: Simplify right side
    1,275.12x = 7,233,158.11
  5. Step 5: Solve for x
    x = 7,233,158.11/1,275.12
  6. Step 6: Final answer
    x = 5,672.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.