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Finding the Third Proportional to 199,184 and 428,576

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Solution

The third proportional to 199,184 and 428,576 is: 922,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,184 : 428,576 = 428,576 : x
  2. Step 2: Convert to fraction form
    199,184/428,576 = 428,576/x
  3. Step 3: Cross multiply
    199,184x = 428,576 × 428,576
  4. Step 4: Simplify right side
    199,184x = 183,677,387,776
  5. Step 5: Solve for x
    x = 183,677,387,776/199,184
  6. Step 6: Final answer
    x = 922,149.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.