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Finding the Third Proportional to 51,890.50 and 77,836

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Solution

The third proportional to 51,890.50 and 77,836 is: 116,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890.50 : 77,836 = 77,836 : x
  2. Step 2: Convert to fraction form
    51,890.50/77,836 = 77,836/x
  3. Step 3: Cross multiply
    51,890.50x = 77,836 × 77,836
  4. Step 4: Simplify right side
    51,890.50x = 6,058,442,896
  5. Step 5: Solve for x
    x = 6,058,442,896/51,890.50
  6. Step 6: Final answer
    x = 116,754.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.