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Finding the Third Proportional to 172,530 and 263,403

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Solution

The third proportional to 172,530 and 263,403 is: 402,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,530 : 263,403 = 263,403 : x
  2. Step 2: Convert to fraction form
    172,530/263,403 = 263,403/x
  3. Step 3: Cross multiply
    172,530x = 263,403 × 263,403
  4. Step 4: Simplify right side
    172,530x = 69,381,140,409
  5. Step 5: Solve for x
    x = 69,381,140,409/172,530
  6. Step 6: Final answer
    x = 402,139.57

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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.