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Finding the Third Proportional to 109,435 and 235,217

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Solution

The third proportional to 109,435 and 235,217 is: 505,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,435 : 235,217 = 235,217 : x
  2. Step 2: Convert to fraction form
    109,435/235,217 = 235,217/x
  3. Step 3: Cross multiply
    109,435x = 235,217 × 235,217
  4. Step 4: Simplify right side
    109,435x = 55,327,037,089
  5. Step 5: Solve for x
    x = 55,327,037,089/109,435
  6. Step 6: Final answer
    x = 505,569.86

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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.