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Finding the Third Proportional to 139,150 and 211,381

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Solution

The third proportional to 139,150 and 211,381 is: 321,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,150 : 211,381 = 211,381 : x
  2. Step 2: Convert to fraction form
    139,150/211,381 = 211,381/x
  3. Step 3: Cross multiply
    139,150x = 211,381 × 211,381
  4. Step 4: Simplify right side
    139,150x = 44,681,927,161
  5. Step 5: Solve for x
    x = 44,681,927,161/139,150
  6. Step 6: Final answer
    x = 321,106.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.