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Finding the Third Proportional to 122,856 and 250,896

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Solution

The third proportional to 122,856 and 250,896 is: 512,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,856 : 250,896 = 250,896 : x
  2. Step 2: Convert to fraction form
    122,856/250,896 = 250,896/x
  3. Step 3: Cross multiply
    122,856x = 250,896 × 250,896
  4. Step 4: Simplify right side
    122,856x = 62,948,802,816
  5. Step 5: Solve for x
    x = 62,948,802,816/122,856
  6. Step 6: Final answer
    x = 512,378.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.