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Finding the Third Proportional to 409.69 and 624.19

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Solution

The third proportional to 409.69 and 624.19 is: 950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 624.19 = 624.19 : x
  2. Step 2: Convert to fraction form
    409.69/624.19 = 624.19/x
  3. Step 3: Cross multiply
    409.69x = 624.19 × 624.19
  4. Step 4: Simplify right side
    409.69x = 389,610.04
  5. Step 5: Solve for x
    x = 389,610.04/409.69
  6. Step 6: Final answer
    x = 950.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.