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Finding the Third Proportional to 115,276 and 172,914

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Solution

The third proportional to 115,276 and 172,914 is: 259,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,276 : 172,914 = 172,914 : x
  2. Step 2: Convert to fraction form
    115,276/172,914 = 172,914/x
  3. Step 3: Cross multiply
    115,276x = 172,914 × 172,914
  4. Step 4: Simplify right side
    115,276x = 29,899,251,396
  5. Step 5: Solve for x
    x = 29,899,251,396/115,276
  6. Step 6: Final answer
    x = 259,371

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.