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Finding the Third Proportional to 326,934 and 689,364

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Solution

The third proportional to 326,934 and 689,364 is: 1,453,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,934 : 689,364 = 689,364 : x
  2. Step 2: Convert to fraction form
    326,934/689,364 = 689,364/x
  3. Step 3: Cross multiply
    326,934x = 689,364 × 689,364
  4. Step 4: Simplify right side
    326,934x = 475,222,724,496
  5. Step 5: Solve for x
    x = 475,222,724,496/326,934
  6. Step 6: Final answer
    x = 1,453,573.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.