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Finding the Third Proportional to 51,932 and 78,246

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Solution

The third proportional to 51,932 and 78,246 is: 117,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,932 : 78,246 = 78,246 : x
  2. Step 2: Convert to fraction form
    51,932/78,246 = 78,246/x
  3. Step 3: Cross multiply
    51,932x = 78,246 × 78,246
  4. Step 4: Simplify right side
    51,932x = 6,122,436,516
  5. Step 5: Solve for x
    x = 6,122,436,516/51,932
  6. Step 6: Final answer
    x = 117,893.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.