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Finding the Third Proportional to 199,728 and 424,080

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Solution

The third proportional to 199,728 and 424,080 is: 900,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,728 : 424,080 = 424,080 : x
  2. Step 2: Convert to fraction form
    199,728/424,080 = 424,080/x
  3. Step 3: Cross multiply
    199,728x = 424,080 × 424,080
  4. Step 4: Simplify right side
    199,728x = 179,843,846,400
  5. Step 5: Solve for x
    x = 179,843,846,400/199,728
  6. Step 6: Final answer
    x = 900,443.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.