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Finding the Third Proportional to 630.94 and 1,275.38

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Solution

The third proportional to 630.94 and 1,275.38 is: 2,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.94 : 1,275.38 = 1,275.38 : x
  2. Step 2: Convert to fraction form
    630.94/1,275.38 = 1,275.38/x
  3. Step 3: Cross multiply
    630.94x = 1,275.38 × 1,275.38
  4. Step 4: Simplify right side
    630.94x = 1,626,581.39
  5. Step 5: Solve for x
    x = 1,626,581.39/630.94
  6. Step 6: Final answer
    x = 2,578.04

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.