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Finding the Third Proportional to 686.60 and 1,421.86

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Solution

The third proportional to 686.60 and 1,421.86 is: 2,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.60 : 1,421.86 = 1,421.86 : x
  2. Step 2: Convert to fraction form
    686.60/1,421.86 = 1,421.86/x
  3. Step 3: Cross multiply
    686.60x = 1,421.86 × 1,421.86
  4. Step 4: Simplify right side
    686.60x = 2,021,684.08
  5. Step 5: Solve for x
    x = 2,021,684.08/686.60
  6. Step 6: Final answer
    x = 2,944.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.