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Finding the Third Proportional to 323,232 and 691,392

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Solution

The third proportional to 323,232 and 691,392 is: 1,478,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,232 : 691,392 = 691,392 : x
  2. Step 2: Convert to fraction form
    323,232/691,392 = 691,392/x
  3. Step 3: Cross multiply
    323,232x = 691,392 × 691,392
  4. Step 4: Simplify right side
    323,232x = 478,022,897,664
  5. Step 5: Solve for x
    x = 478,022,897,664/323,232
  6. Step 6: Final answer
    x = 1,478,884.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.