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Finding the Third Proportional to 649.13 and 1,389.38

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Solution

The third proportional to 649.13 and 1,389.38 is: 2,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.13 : 1,389.38 = 1,389.38 : x
  2. Step 2: Convert to fraction form
    649.13/1,389.38 = 1,389.38/x
  3. Step 3: Cross multiply
    649.13x = 1,389.38 × 1,389.38
  4. Step 4: Simplify right side
    649.13x = 1,930,362.89
  5. Step 5: Solve for x
    x = 1,930,362.89/649.13
  6. Step 6: Final answer
    x = 2,973.79

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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.