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Finding the Third Proportional to 199,422 and 299,277.28

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Solution

The third proportional to 199,422 and 299,277.28 is: 449,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,422 : 299,277.28 = 299,277.28 : x
  2. Step 2: Convert to fraction form
    199,422/299,277.28 = 299,277.28/x
  3. Step 3: Cross multiply
    199,422x = 299,277.28 × 299,277.28
  4. Step 4: Simplify right side
    199,422x = 89,566,891,072.39
  5. Step 5: Solve for x
    x = 89,566,891,072.39/199,422
  6. Step 6: Final answer
    x = 449,132.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.