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Finding the Third Proportional to 109,636 and 239,774

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Solution

The third proportional to 109,636 and 239,774 is: 524,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,636 : 239,774 = 239,774 : x
  2. Step 2: Convert to fraction form
    109,636/239,774 = 239,774/x
  3. Step 3: Cross multiply
    109,636x = 239,774 × 239,774
  4. Step 4: Simplify right side
    109,636x = 57,491,571,076
  5. Step 5: Solve for x
    x = 57,491,571,076/109,636
  6. Step 6: Final answer
    x = 524,385.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.