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Finding the Third Proportional to 642.94 and 1,382.70

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Solution

The third proportional to 642.94 and 1,382.70 is: 2,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 1,382.70 = 1,382.70 : x
  2. Step 2: Convert to fraction form
    642.94/1,382.70 = 1,382.70/x
  3. Step 3: Cross multiply
    642.94x = 1,382.70 × 1,382.70
  4. Step 4: Simplify right side
    642.94x = 1,911,846.33
  5. Step 5: Solve for x
    x = 1,911,846.33/642.94
  6. Step 6: Final answer
    x = 2,973.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.