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Finding the Third Proportional to 109,674 and 239,184

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Solution

The third proportional to 109,674 and 239,184 is: 521,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,674 : 239,184 = 239,184 : x
  2. Step 2: Convert to fraction form
    109,674/239,184 = 239,184/x
  3. Step 3: Cross multiply
    109,674x = 239,184 × 239,184
  4. Step 4: Simplify right side
    109,674x = 57,208,985,856
  5. Step 5: Solve for x
    x = 57,208,985,856/109,674
  6. Step 6: Final answer
    x = 521,627.60

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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.