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Finding the Third Proportional to 323,764 and 686,980

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Solution

The third proportional to 323,764 and 686,980 is: 1,457,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,764 : 686,980 = 686,980 : x
  2. Step 2: Convert to fraction form
    323,764/686,980 = 686,980/x
  3. Step 3: Cross multiply
    323,764x = 686,980 × 686,980
  4. Step 4: Simplify right side
    323,764x = 471,941,520,400
  5. Step 5: Solve for x
    x = 471,941,520,400/323,764
  6. Step 6: Final answer
    x = 1,457,671.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.