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Finding the Third Proportional to 712.75 and 1,649.38

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Solution

The third proportional to 712.75 and 1,649.38 is: 3,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.75 : 1,649.38 = 1,649.38 : x
  2. Step 2: Convert to fraction form
    712.75/1,649.38 = 1,649.38/x
  3. Step 3: Cross multiply
    712.75x = 1,649.38 × 1,649.38
  4. Step 4: Simplify right side
    712.75x = 2,720,437.89
  5. Step 5: Solve for x
    x = 2,720,437.89/712.75
  6. Step 6: Final answer
    x = 3,816.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.