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Finding the Third Proportional to 139,420 and 216,188

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Solution

The third proportional to 139,420 and 216,188 is: 335,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,420 : 216,188 = 216,188 : x
  2. Step 2: Convert to fraction form
    139,420/216,188 = 216,188/x
  3. Step 3: Cross multiply
    139,420x = 216,188 × 216,188
  4. Step 4: Simplify right side
    139,420x = 46,737,251,344
  5. Step 5: Solve for x
    x = 46,737,251,344/139,420
  6. Step 6: Final answer
    x = 335,226.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.