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Finding the Third Proportional to 199,421 and 299,277

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Solution

The third proportional to 199,421 and 299,277 is: 449,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,421 : 299,277 = 299,277 : x
  2. Step 2: Convert to fraction form
    199,421/299,277 = 299,277/x
  3. Step 3: Cross multiply
    199,421x = 299,277 × 299,277
  4. Step 4: Simplify right side
    199,421x = 89,566,722,729
  5. Step 5: Solve for x
    x = 89,566,722,729/199,421
  6. Step 6: Final answer
    x = 449,133.86

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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.