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Finding the Third Proportional to 253,835 and 336,942

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Solution

The third proportional to 253,835 and 336,942 is: 447,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,835 : 336,942 = 336,942 : x
  2. Step 2: Convert to fraction form
    253,835/336,942 = 336,942/x
  3. Step 3: Cross multiply
    253,835x = 336,942 × 336,942
  4. Step 4: Simplify right side
    253,835x = 113,529,911,364
  5. Step 5: Solve for x
    x = 113,529,911,364/253,835
  6. Step 6: Final answer
    x = 447,258.70

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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.