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Finding the Third Proportional to 253,831.50 and 336,938

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Solution

The third proportional to 253,831.50 and 336,938 is: 447,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,831.50 : 336,938 = 336,938 : x
  2. Step 2: Convert to fraction form
    253,831.50/336,938 = 336,938/x
  3. Step 3: Cross multiply
    253,831.50x = 336,938 × 336,938
  4. Step 4: Simplify right side
    253,831.50x = 113,527,215,844
  5. Step 5: Solve for x
    x = 113,527,215,844/253,831.50
  6. Step 6: Final answer
    x = 447,254.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.