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Finding the Third Proportional to 117,990 and 254,763

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Solution

The third proportional to 117,990 and 254,763 is: 550,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,990 : 254,763 = 254,763 : x
  2. Step 2: Convert to fraction form
    117,990/254,763 = 254,763/x
  3. Step 3: Cross multiply
    117,990x = 254,763 × 254,763
  4. Step 4: Simplify right side
    117,990x = 64,904,186,169
  5. Step 5: Solve for x
    x = 64,904,186,169/117,990
  6. Step 6: Final answer
    x = 550,082.09

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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.