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Finding the Third Proportional to 686.25 and 1,508.63

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Solution

The third proportional to 686.25 and 1,508.63 is: 3,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 1,508.63 = 1,508.63 : x
  2. Step 2: Convert to fraction form
    686.25/1,508.63 = 1,508.63/x
  3. Step 3: Cross multiply
    686.25x = 1,508.63 × 1,508.63
  4. Step 4: Simplify right side
    686.25x = 2,275,949.39
  5. Step 5: Solve for x
    x = 2,275,949.39/686.25
  6. Step 6: Final answer
    x = 3,316.50

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