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Finding the Third Proportional to 299,750 and 654,414

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Solution

The third proportional to 299,750 and 654,414 is: 1,428,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,750 : 654,414 = 654,414 : x
  2. Step 2: Convert to fraction form
    299,750/654,414 = 654,414/x
  3. Step 3: Cross multiply
    299,750x = 654,414 × 654,414
  4. Step 4: Simplify right side
    299,750x = 428,257,683,396
  5. Step 5: Solve for x
    x = 428,257,683,396/299,750
  6. Step 6: Final answer
    x = 1,428,716.21

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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.