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Finding the Third Proportional to 172,142 and 263,168

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Solution

The third proportional to 172,142 and 263,168 is: 402,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,142 : 263,168 = 263,168 : x
  2. Step 2: Convert to fraction form
    172,142/263,168 = 263,168/x
  3. Step 3: Cross multiply
    172,142x = 263,168 × 263,168
  4. Step 4: Simplify right side
    172,142x = 69,257,396,224
  5. Step 5: Solve for x
    x = 69,257,396,224/172,142
  6. Step 6: Final answer
    x = 402,327.13

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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.