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Finding the Third Proportional to 92,557 and 198,236

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Solution

The third proportional to 92,557 and 198,236 is: 424,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,557 : 198,236 = 198,236 : x
  2. Step 2: Convert to fraction form
    92,557/198,236 = 198,236/x
  3. Step 3: Cross multiply
    92,557x = 198,236 × 198,236
  4. Step 4: Simplify right side
    92,557x = 39,297,511,696
  5. Step 5: Solve for x
    x = 39,297,511,696/92,557
  6. Step 6: Final answer
    x = 424,576.33

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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.