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Finding the Third Proportional to 407.25 and 618.19

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Solution

The third proportional to 407.25 and 618.19 is: 938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 618.19 = 618.19 : x
  2. Step 2: Convert to fraction form
    407.25/618.19 = 618.19/x
  3. Step 3: Cross multiply
    407.25x = 618.19 × 618.19
  4. Step 4: Simplify right side
    407.25x = 382,155.79
  5. Step 5: Solve for x
    x = 382,155.79/407.25
  6. Step 6: Final answer
    x = 938.38

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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.