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Finding the Third Proportional to 326,972 and 439,398

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Solution

The third proportional to 326,972 and 439,398 is: 590,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,972 : 439,398 = 439,398 : x
  2. Step 2: Convert to fraction form
    326,972/439,398 = 439,398/x
  3. Step 3: Cross multiply
    326,972x = 439,398 × 439,398
  4. Step 4: Simplify right side
    326,972x = 193,070,602,404
  5. Step 5: Solve for x
    x = 193,070,602,404/326,972
  6. Step 6: Final answer
    x = 590,480.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.