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Finding the Third Proportional to 122,574 and 256,377

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Solution

The third proportional to 122,574 and 256,377 is: 536,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,574 : 256,377 = 256,377 : x
  2. Step 2: Convert to fraction form
    122,574/256,377 = 256,377/x
  3. Step 3: Cross multiply
    122,574x = 256,377 × 256,377
  4. Step 4: Simplify right side
    122,574x = 65,729,166,129
  5. Step 5: Solve for x
    x = 65,729,166,129/122,574
  6. Step 6: Final answer
    x = 536,240.69

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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.