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Finding the Third Proportional to 198,595 and 425,617

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Solution

The third proportional to 198,595 and 425,617 is: 912,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,595 : 425,617 = 425,617 : x
  2. Step 2: Convert to fraction form
    198,595/425,617 = 425,617/x
  3. Step 3: Cross multiply
    198,595x = 425,617 × 425,617
  4. Step 4: Simplify right side
    198,595x = 181,149,830,689
  5. Step 5: Solve for x
    x = 181,149,830,689/198,595
  6. Step 6: Final answer
    x = 912,157.06

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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.