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Finding the Third Proportional to 1,686.70 and 3,503.15

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Solution

The third proportional to 1,686.70 and 3,503.15 is: 7,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.70 : 3,503.15 = 3,503.15 : x
  2. Step 2: Convert to fraction form
    1,686.70/3,503.15 = 3,503.15/x
  3. Step 3: Cross multiply
    1,686.70x = 3,503.15 × 3,503.15
  4. Step 4: Simplify right side
    1,686.70x = 12,272,067.79
  5. Step 5: Solve for x
    x = 12,272,067.79/1,686.70
  6. Step 6: Final answer
    x = 7,275.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.