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Finding the Third Proportional to 307.41 and 649.55

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Solution

The third proportional to 307.41 and 649.55 is: 1,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.41 : 649.55 = 649.55 : x
  2. Step 2: Convert to fraction form
    307.41/649.55 = 649.55/x
  3. Step 3: Cross multiply
    307.41x = 649.55 × 649.55
  4. Step 4: Simplify right side
    307.41x = 421,911.14
  5. Step 5: Solve for x
    x = 421,911.14/307.41
  6. Step 6: Final answer
    x = 1,372.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.