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Finding the Third Proportional to 159,467 and 256,942

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Solution

The third proportional to 159,467 and 256,942 is: 413,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,467 : 256,942 = 256,942 : x
  2. Step 2: Convert to fraction form
    159,467/256,942 = 256,942/x
  3. Step 3: Cross multiply
    159,467x = 256,942 × 256,942
  4. Step 4: Simplify right side
    159,467x = 66,019,191,364
  5. Step 5: Solve for x
    x = 66,019,191,364/159,467
  6. Step 6: Final answer
    x = 413,999.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.