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Finding the Third Proportional to 649.59 and 1,239.33

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Solution

The third proportional to 649.59 and 1,239.33 is: 2,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 1,239.33 = 1,239.33 : x
  2. Step 2: Convert to fraction form
    649.59/1,239.33 = 1,239.33/x
  3. Step 3: Cross multiply
    649.59x = 1,239.33 × 1,239.33
  4. Step 4: Simplify right side
    649.59x = 1,535,934.20
  5. Step 5: Solve for x
    x = 1,535,934.20/649.59
  6. Step 6: Final answer
    x = 2,364.45

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.