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Finding the Third Proportional to 256,668 and 413,520

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Solution

The third proportional to 256,668 and 413,520 is: 666,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,668 : 413,520 = 413,520 : x
  2. Step 2: Convert to fraction form
    256,668/413,520 = 413,520/x
  3. Step 3: Cross multiply
    256,668x = 413,520 × 413,520
  4. Step 4: Simplify right side
    256,668x = 170,998,790,400
  5. Step 5: Solve for x
    x = 170,998,790,400/256,668
  6. Step 6: Final answer
    x = 666,225.59

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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.