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Finding the Third Proportional to 109,642 and 239,084

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Solution

The third proportional to 109,642 and 239,084 is: 521,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,642 : 239,084 = 239,084 : x
  2. Step 2: Convert to fraction form
    109,642/239,084 = 239,084/x
  3. Step 3: Cross multiply
    109,642x = 239,084 × 239,084
  4. Step 4: Simplify right side
    109,642x = 57,161,159,056
  5. Step 5: Solve for x
    x = 57,161,159,056/109,642
  6. Step 6: Final answer
    x = 521,343.64

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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.