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Finding the Third Proportional to 642.09 and 1,350.84

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Solution

The third proportional to 642.09 and 1,350.84 is: 2,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.09 : 1,350.84 = 1,350.84 : x
  2. Step 2: Convert to fraction form
    642.09/1,350.84 = 1,350.84/x
  3. Step 3: Cross multiply
    642.09x = 1,350.84 × 1,350.84
  4. Step 4: Simplify right side
    642.09x = 1,824,778.84
  5. Step 5: Solve for x
    x = 1,824,778.84/642.09
  6. Step 6: Final answer
    x = 2,841.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.