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Finding the Third Proportional to 159,485 and 256,966

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Solution

The third proportional to 159,485 and 256,966 is: 414,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,485 : 256,966 = 256,966 : x
  2. Step 2: Convert to fraction form
    159,485/256,966 = 256,966/x
  3. Step 3: Cross multiply
    159,485x = 256,966 × 256,966
  4. Step 4: Simplify right side
    159,485x = 66,031,525,156
  5. Step 5: Solve for x
    x = 66,031,525,156/159,485
  6. Step 6: Final answer
    x = 414,029.69

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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.