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Finding the Third Proportional to 168,368 and 261,406

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Solution

The third proportional to 168,368 and 261,406 is: 405,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,368 : 261,406 = 261,406 : x
  2. Step 2: Convert to fraction form
    168,368/261,406 = 261,406/x
  3. Step 3: Cross multiply
    168,368x = 261,406 × 261,406
  4. Step 4: Simplify right side
    168,368x = 68,333,096,836
  5. Step 5: Solve for x
    x = 68,333,096,836/168,368
  6. Step 6: Final answer
    x = 405,855.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.