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Finding the Third Proportional to 51,856 and 78,262

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Solution

The third proportional to 51,856 and 78,262 is: 118,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856 : 78,262 = 78,262 : x
  2. Step 2: Convert to fraction form
    51,856/78,262 = 78,262/x
  3. Step 3: Cross multiply
    51,856x = 78,262 × 78,262
  4. Step 4: Simplify right side
    51,856x = 6,124,940,644
  5. Step 5: Solve for x
    x = 6,124,940,644/51,856
  6. Step 6: Final answer
    x = 118,114.41

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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.