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Finding the Third Proportional to 299,439 and 430,422

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Solution

The third proportional to 299,439 and 430,422 is: 618,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,439 : 430,422 = 430,422 : x
  2. Step 2: Convert to fraction form
    299,439/430,422 = 430,422/x
  3. Step 3: Cross multiply
    299,439x = 430,422 × 430,422
  4. Step 4: Simplify right side
    299,439x = 185,263,098,084
  5. Step 5: Solve for x
    x = 185,263,098,084/299,439
  6. Step 6: Final answer
    x = 618,700.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.