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Finding the Third Proportional to 122,428 and 255,926

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Solution

The third proportional to 122,428 and 255,926 is: 534,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,428 : 255,926 = 255,926 : x
  2. Step 2: Convert to fraction form
    122,428/255,926 = 255,926/x
  3. Step 3: Cross multiply
    122,428x = 255,926 × 255,926
  4. Step 4: Simplify right side
    122,428x = 65,498,117,476
  5. Step 5: Solve for x
    x = 65,498,117,476/122,428
  6. Step 6: Final answer
    x = 534,992.95

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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.