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Finding the Third Proportional to 310,794 and 686,934

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Solution

The third proportional to 310,794 and 686,934 is: 1,518,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,794 : 686,934 = 686,934 : x
  2. Step 2: Convert to fraction form
    310,794/686,934 = 686,934/x
  3. Step 3: Cross multiply
    310,794x = 686,934 × 686,934
  4. Step 4: Simplify right side
    310,794x = 471,878,320,356
  5. Step 5: Solve for x
    x = 471,878,320,356/310,794
  6. Step 6: Final answer
    x = 1,518,299.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.