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Finding the Third Proportional to 299,721 and 654,361

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Solution

The third proportional to 299,721 and 654,361 is: 1,428,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,721 : 654,361 = 654,361 : x
  2. Step 2: Convert to fraction form
    299,721/654,361 = 654,361/x
  3. Step 3: Cross multiply
    299,721x = 654,361 × 654,361
  4. Step 4: Simplify right side
    299,721x = 428,188,318,321
  5. Step 5: Solve for x
    x = 428,188,318,321/299,721
  6. Step 6: Final answer
    x = 1,428,623.01

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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.