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Finding the Third Proportional to 198,387 and 440,916.75

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Solution

The third proportional to 198,387 and 440,916.75 is: 979,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,387 : 440,916.75 = 440,916.75 : x
  2. Step 2: Convert to fraction form
    198,387/440,916.75 = 440,916.75/x
  3. Step 3: Cross multiply
    198,387x = 440,916.75 × 440,916.75
  4. Step 4: Simplify right side
    198,387x = 194,407,580,430.56
  5. Step 5: Solve for x
    x = 194,407,580,430.56/198,387
  6. Step 6: Final answer
    x = 979,941.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.