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Finding the Third Proportional to 172,138.50 and 263,162.25

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Solution

The third proportional to 172,138.50 and 263,162.25 is: 402,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,138.50 : 263,162.25 = 263,162.25 : x
  2. Step 2: Convert to fraction form
    172,138.50/263,162.25 = 263,162.25/x
  3. Step 3: Cross multiply
    172,138.50x = 263,162.25 × 263,162.25
  4. Step 4: Simplify right side
    172,138.50x = 69,254,369,825.06
  5. Step 5: Solve for x
    x = 69,254,369,825.06/172,138.50
  6. Step 6: Final answer
    x = 402,317.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.