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Finding the Third Proportional to 122,159 and 262,786

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Solution

The third proportional to 122,159 and 262,786 is: 565,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,159 : 262,786 = 262,786 : x
  2. Step 2: Convert to fraction form
    122,159/262,786 = 262,786/x
  3. Step 3: Cross multiply
    122,159x = 262,786 × 262,786
  4. Step 4: Simplify right side
    122,159x = 69,056,481,796
  5. Step 5: Solve for x
    x = 69,056,481,796/122,159
  6. Step 6: Final answer
    x = 565,299.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.