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Finding the Third Proportional to 169,036 and 263,243

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Solution

The third proportional to 169,036 and 263,243 is: 409,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,036 : 263,243 = 263,243 : x
  2. Step 2: Convert to fraction form
    169,036/263,243 = 263,243/x
  3. Step 3: Cross multiply
    169,036x = 263,243 × 263,243
  4. Step 4: Simplify right side
    169,036x = 69,296,877,049
  5. Step 5: Solve for x
    x = 69,296,877,049/169,036
  6. Step 6: Final answer
    x = 409,953.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.