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Finding the Third Proportional to 109,630 and 236,747

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Solution

The third proportional to 109,630 and 236,747 is: 511,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,630 : 236,747 = 236,747 : x
  2. Step 2: Convert to fraction form
    109,630/236,747 = 236,747/x
  3. Step 3: Cross multiply
    109,630x = 236,747 × 236,747
  4. Step 4: Simplify right side
    109,630x = 56,049,142,009
  5. Step 5: Solve for x
    x = 56,049,142,009/109,630
  6. Step 6: Final answer
    x = 511,257.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.