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Finding the Third Proportional to 322,103.25 and 686,863.13

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Solution

The third proportional to 322,103.25 and 686,863.13 is: 1,464,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,103.25 : 686,863.13 = 686,863.13 : x
  2. Step 2: Convert to fraction form
    322,103.25/686,863.13 = 686,863.13/x
  3. Step 3: Cross multiply
    322,103.25x = 686,863.13 × 686,863.13
  4. Step 4: Simplify right side
    322,103.25x = 471,780,952,484.77
  5. Step 5: Solve for x
    x = 471,780,952,484.77/322,103.25
  6. Step 6: Final answer
    x = 1,464,688.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.