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Finding the Third Proportional to 139,086 and 209,277

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Solution

The third proportional to 139,086 and 209,277 is: 314,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,086 : 209,277 = 209,277 : x
  2. Step 2: Convert to fraction form
    139,086/209,277 = 209,277/x
  3. Step 3: Cross multiply
    139,086x = 209,277 × 209,277
  4. Step 4: Simplify right side
    139,086x = 43,796,862,729
  5. Step 5: Solve for x
    x = 43,796,862,729/139,086
  6. Step 6: Final answer
    x = 314,890.52

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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.