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Finding the Third Proportional to 51,357 and 110,915

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Solution

The third proportional to 51,357 and 110,915 is: 239,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,357 : 110,915 = 110,915 : x
  2. Step 2: Convert to fraction form
    51,357/110,915 = 110,915/x
  3. Step 3: Cross multiply
    51,357x = 110,915 × 110,915
  4. Step 4: Simplify right side
    51,357x = 12,302,137,225
  5. Step 5: Solve for x
    x = 12,302,137,225/51,357
  6. Step 6: Final answer
    x = 239,541.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.