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Finding the Third Proportional to 684.38 and 1,501.25

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Solution

The third proportional to 684.38 and 1,501.25 is: 3,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.38 : 1,501.25 = 1,501.25 : x
  2. Step 2: Convert to fraction form
    684.38/1,501.25 = 1,501.25/x
  3. Step 3: Cross multiply
    684.38x = 1,501.25 × 1,501.25
  4. Step 4: Simplify right side
    684.38x = 2,253,751.56
  5. Step 5: Solve for x
    x = 2,253,751.56/684.38
  6. Step 6: Final answer
    x = 3,293.15

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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.