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Finding the Third Proportional to 122,478 and 256,020

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Solution

The third proportional to 122,478 and 256,020 is: 535,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,478 : 256,020 = 256,020 : x
  2. Step 2: Convert to fraction form
    122,478/256,020 = 256,020/x
  3. Step 3: Cross multiply
    122,478x = 256,020 × 256,020
  4. Step 4: Simplify right side
    122,478x = 65,546,240,400
  5. Step 5: Solve for x
    x = 65,546,240,400/122,478
  6. Step 6: Final answer
    x = 535,167.46

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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.