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Finding the Third Proportional to 642.28 and 1,410.84

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Solution

The third proportional to 642.28 and 1,410.84 is: 3,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.28 : 1,410.84 = 1,410.84 : x
  2. Step 2: Convert to fraction form
    642.28/1,410.84 = 1,410.84/x
  3. Step 3: Cross multiply
    642.28x = 1,410.84 × 1,410.84
  4. Step 4: Simplify right side
    642.28x = 1,990,480.09
  5. Step 5: Solve for x
    x = 1,990,480.09/642.28
  6. Step 6: Final answer
    x = 3,099.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.