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Finding the Third Proportional to 172,126 and 284,450

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Solution

The third proportional to 172,126 and 284,450 is: 470,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,126 : 284,450 = 284,450 : x
  2. Step 2: Convert to fraction form
    172,126/284,450 = 284,450/x
  3. Step 3: Cross multiply
    172,126x = 284,450 × 284,450
  4. Step 4: Simplify right side
    172,126x = 80,911,802,500
  5. Step 5: Solve for x
    x = 80,911,802,500/172,126
  6. Step 6: Final answer
    x = 470,073.10

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.