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Finding the Third Proportional to 198,536 and 424,774

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Solution

The third proportional to 198,536 and 424,774 is: 908,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,536 : 424,774 = 424,774 : x
  2. Step 2: Convert to fraction form
    198,536/424,774 = 424,774/x
  3. Step 3: Cross multiply
    198,536x = 424,774 × 424,774
  4. Step 4: Simplify right side
    198,536x = 180,432,951,076
  5. Step 5: Solve for x
    x = 180,432,951,076/198,536
  6. Step 6: Final answer
    x = 908,817.30

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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.