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Finding the Third Proportional to 199,431 and 299,284

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Solution

The third proportional to 199,431 and 299,284 is: 449,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,431 : 299,284 = 299,284 : x
  2. Step 2: Convert to fraction form
    199,431/299,284 = 299,284/x
  3. Step 3: Cross multiply
    199,431x = 299,284 × 299,284
  4. Step 4: Simplify right side
    199,431x = 89,570,912,656
  5. Step 5: Solve for x
    x = 89,570,912,656/199,431
  6. Step 6: Final answer
    x = 449,132.34

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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.