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Finding the Third Proportional to 109,698 and 239,220

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Solution

The third proportional to 109,698 and 239,220 is: 521,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,698 : 239,220 = 239,220 : x
  2. Step 2: Convert to fraction form
    109,698/239,220 = 239,220/x
  3. Step 3: Cross multiply
    109,698x = 239,220 × 239,220
  4. Step 4: Simplify right side
    109,698x = 57,226,208,400
  5. Step 5: Solve for x
    x = 57,226,208,400/109,698
  6. Step 6: Final answer
    x = 521,670.48

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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.