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Finding the Third Proportional to 203,419 and 425,427

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Solution

The third proportional to 203,419 and 425,427 is: 889,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419 : 425,427 = 425,427 : x
  2. Step 2: Convert to fraction form
    203,419/425,427 = 425,427/x
  3. Step 3: Cross multiply
    203,419x = 425,427 × 425,427
  4. Step 4: Simplify right side
    203,419x = 180,988,132,329
  5. Step 5: Solve for x
    x = 180,988,132,329/203,419
  6. Step 6: Final answer
    x = 889,730.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.