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Finding the Third Proportional to 109,898 and 239,929

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Solution

The third proportional to 109,898 and 239,929 is: 523,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898 : 239,929 = 239,929 : x
  2. Step 2: Convert to fraction form
    109,898/239,929 = 239,929/x
  3. Step 3: Cross multiply
    109,898x = 239,929 × 239,929
  4. Step 4: Simplify right side
    109,898x = 57,565,925,041
  5. Step 5: Solve for x
    x = 57,565,925,041/109,898
  6. Step 6: Final answer
    x = 523,812.31

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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.