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Finding the Third Proportional to 140,314 and 209,918

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Solution

The third proportional to 140,314 and 209,918 is: 314,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,314 : 209,918 = 209,918 : x
  2. Step 2: Convert to fraction form
    140,314/209,918 = 209,918/x
  3. Step 3: Cross multiply
    140,314x = 209,918 × 209,918
  4. Step 4: Simplify right side
    140,314x = 44,065,566,724
  5. Step 5: Solve for x
    x = 44,065,566,724/140,314
  6. Step 6: Final answer
    x = 314,049.68

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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.