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Finding the Third Proportional to 322,112.25 and 686,881.13

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Solution

The third proportional to 322,112.25 and 686,881.13 is: 1,464,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,112.25 : 686,881.13 = 686,881.13 : x
  2. Step 2: Convert to fraction form
    322,112.25/686,881.13 = 686,881.13/x
  3. Step 3: Cross multiply
    322,112.25x = 686,881.13 × 686,881.13
  4. Step 4: Simplify right side
    322,112.25x = 471,805,679,881.27
  5. Step 5: Solve for x
    x = 471,805,679,881.27/322,112.25
  6. Step 6: Final answer
    x = 1,464,724.42

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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.