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Finding the Third Proportional to 109,654 and 239,138

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Solution

The third proportional to 109,654 and 239,138 is: 521,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,654 : 239,138 = 239,138 : x
  2. Step 2: Convert to fraction form
    109,654/239,138 = 239,138/x
  3. Step 3: Cross multiply
    109,654x = 239,138 × 239,138
  4. Step 4: Simplify right side
    109,654x = 57,186,983,044
  5. Step 5: Solve for x
    x = 57,186,983,044/109,654
  6. Step 6: Final answer
    x = 521,522.09

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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.