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Finding the Third Proportional to 198,783 and 425,970

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Solution

The third proportional to 198,783 and 425,970 is: 912,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,783 : 425,970 = 425,970 : x
  2. Step 2: Convert to fraction form
    198,783/425,970 = 425,970/x
  3. Step 3: Cross multiply
    198,783x = 425,970 × 425,970
  4. Step 4: Simplify right side
    198,783x = 181,450,440,900
  5. Step 5: Solve for x
    x = 181,450,440,900/198,783
  6. Step 6: Final answer
    x = 912,806.63

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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.