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Finding the Third Proportional to 121,058 and 256,756

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Solution

The third proportional to 121,058 and 256,756 is: 544,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,058 : 256,756 = 256,756 : x
  2. Step 2: Convert to fraction form
    121,058/256,756 = 256,756/x
  3. Step 3: Cross multiply
    121,058x = 256,756 × 256,756
  4. Step 4: Simplify right side
    121,058x = 65,923,643,536
  5. Step 5: Solve for x
    x = 65,923,643,536/121,058
  6. Step 6: Final answer
    x = 544,562.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.