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Finding the Third Proportional to 256,759 and 340,770

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Solution

The third proportional to 256,759 and 340,770 is: 452,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,759 : 340,770 = 340,770 : x
  2. Step 2: Convert to fraction form
    256,759/340,770 = 340,770/x
  3. Step 3: Cross multiply
    256,759x = 340,770 × 340,770
  4. Step 4: Simplify right side
    256,759x = 116,124,192,900
  5. Step 5: Solve for x
    x = 116,124,192,900/256,759
  6. Step 6: Final answer
    x = 452,269.22

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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.