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Finding the Third Proportional to 323,638 and 688,100

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Solution

The third proportional to 323,638 and 688,100 is: 1,462,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,638 : 688,100 = 688,100 : x
  2. Step 2: Convert to fraction form
    323,638/688,100 = 688,100/x
  3. Step 3: Cross multiply
    323,638x = 688,100 × 688,100
  4. Step 4: Simplify right side
    323,638x = 473,481,610,000
  5. Step 5: Solve for x
    x = 473,481,610,000/323,638
  6. Step 6: Final answer
    x = 1,462,997.58

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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.