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Finding the Third Proportional to 313,846 and 686,376

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Solution

The third proportional to 313,846 and 686,376 is: 1,501,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846 : 686,376 = 686,376 : x
  2. Step 2: Convert to fraction form
    313,846/686,376 = 686,376/x
  3. Step 3: Cross multiply
    313,846x = 686,376 × 686,376
  4. Step 4: Simplify right side
    313,846x = 471,112,013,376
  5. Step 5: Solve for x
    x = 471,112,013,376/313,846
  6. Step 6: Final answer
    x = 1,501,092.94

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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.