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Finding the Third Proportional to 323,344 and 705,424

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Solution

The third proportional to 323,344 and 705,424 is: 1,538,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,344 : 705,424 = 705,424 : x
  2. Step 2: Convert to fraction form
    323,344/705,424 = 705,424/x
  3. Step 3: Cross multiply
    323,344x = 705,424 × 705,424
  4. Step 4: Simplify right side
    323,344x = 497,623,019,776
  5. Step 5: Solve for x
    x = 497,623,019,776/323,344
  6. Step 6: Final answer
    x = 1,538,989.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.