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Finding the Third Proportional to 303.13 and 642.31

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Solution

The third proportional to 303.13 and 642.31 is: 1,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.13 : 642.31 = 642.31 : x
  2. Step 2: Convert to fraction form
    303.13/642.31 = 642.31/x
  3. Step 3: Cross multiply
    303.13x = 642.31 × 642.31
  4. Step 4: Simplify right side
    303.13x = 412,565.35
  5. Step 5: Solve for x
    x = 412,565.35/303.13
  6. Step 6: Final answer
    x = 1,361.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.