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Finding the Third Proportional to 172,121 and 263,113

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Solution

The third proportional to 172,121 and 263,113 is: 402,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,121 : 263,113 = 263,113 : x
  2. Step 2: Convert to fraction form
    172,121/263,113 = 263,113/x
  3. Step 3: Cross multiply
    172,121x = 263,113 × 263,113
  4. Step 4: Simplify right side
    172,121x = 69,228,450,769
  5. Step 5: Solve for x
    x = 69,228,450,769/172,121
  6. Step 6: Final answer
    x = 402,208.04

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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.