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Finding the Third Proportional to 172,360 and 378,733

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Solution

The third proportional to 172,360 and 378,733 is: 832,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,360 : 378,733 = 378,733 : x
  2. Step 2: Convert to fraction form
    172,360/378,733 = 378,733/x
  3. Step 3: Cross multiply
    172,360x = 378,733 × 378,733
  4. Step 4: Simplify right side
    172,360x = 143,438,685,289
  5. Step 5: Solve for x
    x = 143,438,685,289/172,360
  6. Step 6: Final answer
    x = 832,204.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.