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Finding the Third Proportional to 116,859 and 255,831

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Solution

The third proportional to 116,859 and 255,831 is: 560,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,859 : 255,831 = 255,831 : x
  2. Step 2: Convert to fraction form
    116,859/255,831 = 255,831/x
  3. Step 3: Cross multiply
    116,859x = 255,831 × 255,831
  4. Step 4: Simplify right side
    116,859x = 65,449,500,561
  5. Step 5: Solve for x
    x = 65,449,500,561/116,859
  6. Step 6: Final answer
    x = 560,072.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.