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Finding the Third Proportional to 642.38 and 1,366.88

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Solution

The third proportional to 642.38 and 1,366.88 is: 2,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.38 : 1,366.88 = 1,366.88 : x
  2. Step 2: Convert to fraction form
    642.38/1,366.88 = 1,366.88/x
  3. Step 3: Cross multiply
    642.38x = 1,366.88 × 1,366.88
  4. Step 4: Simplify right side
    642.38x = 1,868,347.27
  5. Step 5: Solve for x
    x = 1,868,347.27/642.38
  6. Step 6: Final answer
    x = 2,908.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.