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Finding the Third Proportional to 326,272 and 722,420

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Solution

The third proportional to 326,272 and 722,420 is: 1,599,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,272 : 722,420 = 722,420 : x
  2. Step 2: Convert to fraction form
    326,272/722,420 = 722,420/x
  3. Step 3: Cross multiply
    326,272x = 722,420 × 722,420
  4. Step 4: Simplify right side
    326,272x = 521,890,656,400
  5. Step 5: Solve for x
    x = 521,890,656,400/326,272
  6. Step 6: Final answer
    x = 1,599,556.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.