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Finding the Third Proportional to 109,728 and 239,736

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Solution

The third proportional to 109,728 and 239,736 is: 523,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,728 : 239,736 = 239,736 : x
  2. Step 2: Convert to fraction form
    109,728/239,736 = 239,736/x
  3. Step 3: Cross multiply
    109,728x = 239,736 × 239,736
  4. Step 4: Simplify right side
    109,728x = 57,473,349,696
  5. Step 5: Solve for x
    x = 57,473,349,696/109,728
  6. Step 6: Final answer
    x = 523,780.16

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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.