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Finding the Third Proportional to 198,597 and 425,621

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Solution

The third proportional to 198,597 and 425,621 is: 912,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,597 : 425,621 = 425,621 : x
  2. Step 2: Convert to fraction form
    198,597/425,621 = 425,621/x
  3. Step 3: Cross multiply
    198,597x = 425,621 × 425,621
  4. Step 4: Simplify right side
    198,597x = 181,153,235,641
  5. Step 5: Solve for x
    x = 181,153,235,641/198,597
  6. Step 6: Final answer
    x = 912,165.02

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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.