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Finding the Third Proportional to 122,823 and 254,878

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Solution

The third proportional to 122,823 and 254,878 is: 528,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,823 : 254,878 = 254,878 : x
  2. Step 2: Convert to fraction form
    122,823/254,878 = 254,878/x
  3. Step 3: Cross multiply
    122,823x = 254,878 × 254,878
  4. Step 4: Simplify right side
    122,823x = 64,962,794,884
  5. Step 5: Solve for x
    x = 64,962,794,884/122,823
  6. Step 6: Final answer
    x = 528,913.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.