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Finding the Third Proportional to 51,920 and 78,906

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Solution

The third proportional to 51,920 and 78,906 is: 119,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920 : 78,906 = 78,906 : x
  2. Step 2: Convert to fraction form
    51,920/78,906 = 78,906/x
  3. Step 3: Cross multiply
    51,920x = 78,906 × 78,906
  4. Step 4: Simplify right side
    51,920x = 6,226,156,836
  5. Step 5: Solve for x
    x = 6,226,156,836/51,920
  6. Step 6: Final answer
    x = 119,918.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.