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Finding the Third Proportional to 109,469 and 235,309

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Solution

The third proportional to 109,469 and 235,309 is: 505,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469 : 235,309 = 235,309 : x
  2. Step 2: Convert to fraction form
    109,469/235,309 = 235,309/x
  3. Step 3: Cross multiply
    109,469x = 235,309 × 235,309
  4. Step 4: Simplify right side
    109,469x = 55,370,325,481
  5. Step 5: Solve for x
    x = 55,370,325,481/109,469
  6. Step 6: Final answer
    x = 505,808.27

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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.