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Finding the Third Proportional to 109,740 and 239,120

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Solution

The third proportional to 109,740 and 239,120 is: 521,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,740 : 239,120 = 239,120 : x
  2. Step 2: Convert to fraction form
    109,740/239,120 = 239,120/x
  3. Step 3: Cross multiply
    109,740x = 239,120 × 239,120
  4. Step 4: Simplify right side
    109,740x = 57,178,374,400
  5. Step 5: Solve for x
    x = 57,178,374,400/109,740
  6. Step 6: Final answer
    x = 521,034.94

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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.