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Finding the Third Proportional to 172,472 and 365,814

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Solution

The third proportional to 172,472 and 365,814 is: 775,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,472 : 365,814 = 365,814 : x
  2. Step 2: Convert to fraction form
    172,472/365,814 = 365,814/x
  3. Step 3: Cross multiply
    172,472x = 365,814 × 365,814
  4. Step 4: Simplify right side
    172,472x = 133,819,882,596
  5. Step 5: Solve for x
    x = 133,819,882,596/172,472
  6. Step 6: Final answer
    x = 775,893.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.