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Finding the Third Proportional to 172,357 and 360,330

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Solution

The third proportional to 172,357 and 360,330 is: 753,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,357 : 360,330 = 360,330 : x
  2. Step 2: Convert to fraction form
    172,357/360,330 = 360,330/x
  3. Step 3: Cross multiply
    172,357x = 360,330 × 360,330
  4. Step 4: Simplify right side
    172,357x = 129,837,708,900
  5. Step 5: Solve for x
    x = 129,837,708,900/172,357
  6. Step 6: Final answer
    x = 753,306.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.