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Finding the Third Proportional to 140,086 and 209,634

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Solution

The third proportional to 140,086 and 209,634 is: 313,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,086 : 209,634 = 209,634 : x
  2. Step 2: Convert to fraction form
    140,086/209,634 = 209,634/x
  3. Step 3: Cross multiply
    140,086x = 209,634 × 209,634
  4. Step 4: Simplify right side
    140,086x = 43,946,413,956
  5. Step 5: Solve for x
    x = 43,946,413,956/140,086
  6. Step 6: Final answer
    x = 313,710.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.