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Finding the Third Proportional to 649.05 and 1,390.39

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Solution

The third proportional to 649.05 and 1,390.39 is: 2,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.05 : 1,390.39 = 1,390.39 : x
  2. Step 2: Convert to fraction form
    649.05/1,390.39 = 1,390.39/x
  3. Step 3: Cross multiply
    649.05x = 1,390.39 × 1,390.39
  4. Step 4: Simplify right side
    649.05x = 1,933,196.95
  5. Step 5: Solve for x
    x = 1,933,196.95/649.05
  6. Step 6: Final answer
    x = 2,978.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.