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Finding the Third Proportional to 256,860 and 340,920

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Solution

The third proportional to 256,860 and 340,920 is: 452,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,860 : 340,920 = 340,920 : x
  2. Step 2: Convert to fraction form
    256,860/340,920 = 340,920/x
  3. Step 3: Cross multiply
    256,860x = 340,920 × 340,920
  4. Step 4: Simplify right side
    256,860x = 116,226,446,400
  5. Step 5: Solve for x
    x = 116,226,446,400/256,860
  6. Step 6: Final answer
    x = 452,489.47

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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.