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Finding the Third Proportional to 119,659 and 259,129

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Solution

The third proportional to 119,659 and 259,129 is: 561,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,659 : 259,129 = 259,129 : x
  2. Step 2: Convert to fraction form
    119,659/259,129 = 259,129/x
  3. Step 3: Cross multiply
    119,659x = 259,129 × 259,129
  4. Step 4: Simplify right side
    119,659x = 67,147,838,641
  5. Step 5: Solve for x
    x = 67,147,838,641/119,659
  6. Step 6: Final answer
    x = 561,159.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.