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Finding the Third Proportional to 51,872 and 115,840

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Solution

The third proportional to 51,872 and 115,840 is: 258,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,872 : 115,840 = 115,840 : x
  2. Step 2: Convert to fraction form
    51,872/115,840 = 115,840/x
  3. Step 3: Cross multiply
    51,872x = 115,840 × 115,840
  4. Step 4: Simplify right side
    51,872x = 13,418,905,600
  5. Step 5: Solve for x
    x = 13,418,905,600/51,872
  6. Step 6: Final answer
    x = 258,692.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.