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Finding the Third Proportional to 115,310 and 172,965

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Solution

The third proportional to 115,310 and 172,965 is: 259,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,310 : 172,965 = 172,965 : x
  2. Step 2: Convert to fraction form
    115,310/172,965 = 172,965/x
  3. Step 3: Cross multiply
    115,310x = 172,965 × 172,965
  4. Step 4: Simplify right side
    115,310x = 29,916,891,225
  5. Step 5: Solve for x
    x = 29,916,891,225/115,310
  6. Step 6: Final answer
    x = 259,447.50

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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.