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Finding the Third Proportional to 198,678 and 425,769

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Solution

The third proportional to 198,678 and 425,769 is: 912,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,678 : 425,769 = 425,769 : x
  2. Step 2: Convert to fraction form
    198,678/425,769 = 425,769/x
  3. Step 3: Cross multiply
    198,678x = 425,769 × 425,769
  4. Step 4: Simplify right side
    198,678x = 181,279,241,361
  5. Step 5: Solve for x
    x = 181,279,241,361/198,678
  6. Step 6: Final answer
    x = 912,427.35

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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.