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Finding the Third Proportional to 198,005 and 262,557

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Solution

The third proportional to 198,005 and 262,557 is: 348,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,005 : 262,557 = 262,557 : x
  2. Step 2: Convert to fraction form
    198,005/262,557 = 262,557/x
  3. Step 3: Cross multiply
    198,005x = 262,557 × 262,557
  4. Step 4: Simplify right side
    198,005x = 68,936,178,249
  5. Step 5: Solve for x
    x = 68,936,178,249/198,005
  6. Step 6: Final answer
    x = 348,153.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.