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Finding the Third Proportional to 51,917 and 115,516

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Solution

The third proportional to 51,917 and 115,516 is: 257,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,917 : 115,516 = 115,516 : x
  2. Step 2: Convert to fraction form
    51,917/115,516 = 115,516/x
  3. Step 3: Cross multiply
    51,917x = 115,516 × 115,516
  4. Step 4: Simplify right side
    51,917x = 13,343,946,256
  5. Step 5: Solve for x
    x = 13,343,946,256/51,917
  6. Step 6: Final answer
    x = 257,024.60

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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.