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Finding the Third Proportional to 109,498 and 236,086

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Solution

The third proportional to 109,498 and 236,086 is: 509,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,498 : 236,086 = 236,086 : x
  2. Step 2: Convert to fraction form
    109,498/236,086 = 236,086/x
  3. Step 3: Cross multiply
    109,498x = 236,086 × 236,086
  4. Step 4: Simplify right side
    109,498x = 55,736,599,396
  5. Step 5: Solve for x
    x = 55,736,599,396/109,498
  6. Step 6: Final answer
    x = 509,019.34

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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.