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Finding the Third Proportional to 312,917 and 686,727

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Solution

The third proportional to 312,917 and 686,727 is: 1,507,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,917 : 686,727 = 686,727 : x
  2. Step 2: Convert to fraction form
    312,917/686,727 = 686,727/x
  3. Step 3: Cross multiply
    312,917x = 686,727 × 686,727
  4. Step 4: Simplify right side
    312,917x = 471,593,972,529
  5. Step 5: Solve for x
    x = 471,593,972,529/312,917
  6. Step 6: Final answer
    x = 1,507,089.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.