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Finding the Third Proportional to 172,960 and 378,724

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Solution

The third proportional to 172,960 and 378,724 is: 829,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,960 : 378,724 = 378,724 : x
  2. Step 2: Convert to fraction form
    172,960/378,724 = 378,724/x
  3. Step 3: Cross multiply
    172,960x = 378,724 × 378,724
  4. Step 4: Simplify right side
    172,960x = 143,431,868,176
  5. Step 5: Solve for x
    x = 143,431,868,176/172,960
  6. Step 6: Final answer
    x = 829,277.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.