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Finding the Third Proportional to 109,668 and 239,169

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Solution

The third proportional to 109,668 and 239,169 is: 521,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,668 : 239,169 = 239,169 : x
  2. Step 2: Convert to fraction form
    109,668/239,169 = 239,169/x
  3. Step 3: Cross multiply
    109,668x = 239,169 × 239,169
  4. Step 4: Simplify right side
    109,668x = 57,201,810,561
  5. Step 5: Solve for x
    x = 57,201,810,561/109,668
  6. Step 6: Final answer
    x = 521,590.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.