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Finding the Third Proportional to 675.84 and 1,281.23

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Solution

The third proportional to 675.84 and 1,281.23 is: 2,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 1,281.23 = 1,281.23 : x
  2. Step 2: Convert to fraction form
    675.84/1,281.23 = 1,281.23/x
  3. Step 3: Cross multiply
    675.84x = 1,281.23 × 1,281.23
  4. Step 4: Simplify right side
    675.84x = 1,641,561.52
  5. Step 5: Solve for x
    x = 1,641,561.52/675.84
  6. Step 6: Final answer
    x = 2,428.91

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.