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Finding the Third Proportional to 326,238 and 691,644

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Solution

The third proportional to 326,238 and 691,644 is: 1,466,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,238 : 691,644 = 691,644 : x
  2. Step 2: Convert to fraction form
    326,238/691,644 = 691,644/x
  3. Step 3: Cross multiply
    326,238x = 691,644 × 691,644
  4. Step 4: Simplify right side
    326,238x = 478,371,422,736
  5. Step 5: Solve for x
    x = 478,371,422,736/326,238
  6. Step 6: Final answer
    x = 1,466,326.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.