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Finding the Third Proportional to 321,798 and 686,328

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Solution

The third proportional to 321,798 and 686,328 is: 1,463,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,798 : 686,328 = 686,328 : x
  2. Step 2: Convert to fraction form
    321,798/686,328 = 686,328/x
  3. Step 3: Cross multiply
    321,798x = 686,328 × 686,328
  4. Step 4: Simplify right side
    321,798x = 471,046,123,584
  5. Step 5: Solve for x
    x = 471,046,123,584/321,798
  6. Step 6: Final answer
    x = 1,463,794.44

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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.