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Finding the Third Proportional to 51,920 and 78,228

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Solution

The third proportional to 51,920 and 78,228 is: 117,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920 : 78,228 = 78,228 : x
  2. Step 2: Convert to fraction form
    51,920/78,228 = 78,228/x
  3. Step 3: Cross multiply
    51,920x = 78,228 × 78,228
  4. Step 4: Simplify right side
    51,920x = 6,119,619,984
  5. Step 5: Solve for x
    x = 6,119,619,984/51,920
  6. Step 6: Final answer
    x = 117,866.33

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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.