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Finding the Third Proportional to 51,880 and 78,288

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Solution

The third proportional to 51,880 and 78,288 is: 118,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880 : 78,288 = 78,288 : x
  2. Step 2: Convert to fraction form
    51,880/78,288 = 78,288/x
  3. Step 3: Cross multiply
    51,880x = 78,288 × 78,288
  4. Step 4: Simplify right side
    51,880x = 6,129,010,944
  5. Step 5: Solve for x
    x = 6,129,010,944/51,880
  6. Step 6: Final answer
    x = 118,138.22

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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.