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Finding the Third Proportional to 296.75 and 649.94

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Solution

The third proportional to 296.75 and 649.94 is: 1,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 649.94 = 649.94 : x
  2. Step 2: Convert to fraction form
    296.75/649.94 = 649.94/x
  3. Step 3: Cross multiply
    296.75x = 649.94 × 649.94
  4. Step 4: Simplify right side
    296.75x = 422,418.75
  5. Step 5: Solve for x
    x = 422,418.75/296.75
  6. Step 6: Final answer
    x = 1,423.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.