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Finding the Third Proportional to 140,076 and 209,619

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Solution

The third proportional to 140,076 and 209,619 is: 313,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,076 : 209,619 = 209,619 : x
  2. Step 2: Convert to fraction form
    140,076/209,619 = 209,619/x
  3. Step 3: Cross multiply
    140,076x = 209,619 × 209,619
  4. Step 4: Simplify right side
    140,076x = 43,940,125,161
  5. Step 5: Solve for x
    x = 43,940,125,161/140,076
  6. Step 6: Final answer
    x = 313,687.75

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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.