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Finding the Third Proportional to 198,621 and 425,661

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Solution

The third proportional to 198,621 and 425,661 is: 912,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,621 : 425,661 = 425,661 : x
  2. Step 2: Convert to fraction form
    198,621/425,661 = 425,661/x
  3. Step 3: Cross multiply
    198,621x = 425,661 × 425,661
  4. Step 4: Simplify right side
    198,621x = 181,187,286,921
  5. Step 5: Solve for x
    x = 181,187,286,921/198,621
  6. Step 6: Final answer
    x = 912,226.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.