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Finding the Third Proportional to 109,670 and 239,173

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Solution

The third proportional to 109,670 and 239,173 is: 521,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,670 : 239,173 = 239,173 : x
  2. Step 2: Convert to fraction form
    109,670/239,173 = 239,173/x
  3. Step 3: Cross multiply
    109,670x = 239,173 × 239,173
  4. Step 4: Simplify right side
    109,670x = 57,203,723,929
  5. Step 5: Solve for x
    x = 57,203,723,929/109,670
  6. Step 6: Final answer
    x = 521,598.65

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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.