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Finding the Third Proportional to 280.88 and 686.44

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Solution

The third proportional to 280.88 and 686.44 is: 1,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.88 : 686.44 = 686.44 : x
  2. Step 2: Convert to fraction form
    280.88/686.44 = 686.44/x
  3. Step 3: Cross multiply
    280.88x = 686.44 × 686.44
  4. Step 4: Simplify right side
    280.88x = 471,196.44
  5. Step 5: Solve for x
    x = 471,196.44/280.88
  6. Step 6: Final answer
    x = 1,677.60

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.