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Finding the Third Proportional to 407.67 and 649.90

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Solution

The third proportional to 407.67 and 649.90 is: 1,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.67 : 649.90 = 649.90 : x
  2. Step 2: Convert to fraction form
    407.67/649.90 = 649.90/x
  3. Step 3: Cross multiply
    407.67x = 649.90 × 649.90
  4. Step 4: Simplify right side
    407.67x = 422,367.98
  5. Step 5: Solve for x
    x = 422,367.98/407.67
  6. Step 6: Final answer
    x = 1,036.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.