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Finding the Third Proportional to 115,217 and 239,630

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Solution

The third proportional to 115,217 and 239,630 is: 498,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,217 : 239,630 = 239,630 : x
  2. Step 2: Convert to fraction form
    115,217/239,630 = 239,630/x
  3. Step 3: Cross multiply
    115,217x = 239,630 × 239,630
  4. Step 4: Simplify right side
    115,217x = 57,422,536,900
  5. Step 5: Solve for x
    x = 57,422,536,900/115,217
  6. Step 6: Final answer
    x = 498,385.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.