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Finding the Third Proportional to 122,557 and 256,338

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Solution

The third proportional to 122,557 and 256,338 is: 536,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,557 : 256,338 = 256,338 : x
  2. Step 2: Convert to fraction form
    122,557/256,338 = 256,338/x
  3. Step 3: Cross multiply
    122,557x = 256,338 × 256,338
  4. Step 4: Simplify right side
    122,557x = 65,709,170,244
  5. Step 5: Solve for x
    x = 65,709,170,244/122,557
  6. Step 6: Final answer
    x = 536,151.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.