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Finding the Third Proportional to 323,634 and 688,092

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Solution

The third proportional to 323,634 and 688,092 is: 1,462,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,634 : 688,092 = 688,092 : x
  2. Step 2: Convert to fraction form
    323,634/688,092 = 688,092/x
  3. Step 3: Cross multiply
    323,634x = 688,092 × 688,092
  4. Step 4: Simplify right side
    323,634x = 473,470,600,464
  5. Step 5: Solve for x
    x = 473,470,600,464/323,634
  6. Step 6: Final answer
    x = 1,462,981.64

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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.