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Finding the Third Proportional to 686,432.39 and 1,429,679.74

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Solution

The third proportional to 686,432.39 and 1,429,679.74 is: 2,977,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,432.39 : 1,429,679.74 = 1,429,679.74 : x
  2. Step 2: Convert to fraction form
    686,432.39/1,429,679.74 = 1,429,679.74/x
  3. Step 3: Cross multiply
    686,432.39x = 1,429,679.74 × 1,429,679.74
  4. Step 4: Simplify right side
    686,432.39x = 2,043,984,165,221.32
  5. Step 5: Solve for x
    x = 2,043,984,165,221.32/686,432.39
  6. Step 6: Final answer
    x = 2,977,691.89

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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.