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Finding the Third Proportional to 198,593 and 425,615

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Solution

The third proportional to 198,593 and 425,615 is: 912,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,593 : 425,615 = 425,615 : x
  2. Step 2: Convert to fraction form
    198,593/425,615 = 425,615/x
  3. Step 3: Cross multiply
    198,593x = 425,615 × 425,615
  4. Step 4: Simplify right side
    198,593x = 181,148,128,225
  5. Step 5: Solve for x
    x = 181,148,128,225/198,593
  6. Step 6: Final answer
    x = 912,157.67

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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.