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Finding the Third Proportional to 172,081 and 369,065

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Solution

The third proportional to 172,081 and 369,065 is: 791,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,081 : 369,065 = 369,065 : x
  2. Step 2: Convert to fraction form
    172,081/369,065 = 369,065/x
  3. Step 3: Cross multiply
    172,081x = 369,065 × 369,065
  4. Step 4: Simplify right side
    172,081x = 136,208,974,225
  5. Step 5: Solve for x
    x = 136,208,974,225/172,081
  6. Step 6: Final answer
    x = 791,539.88

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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.