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Finding the Third Proportional to 139,874 and 221,603

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Solution

The third proportional to 139,874 and 221,603 is: 351,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,874 : 221,603 = 221,603 : x
  2. Step 2: Convert to fraction form
    139,874/221,603 = 221,603/x
  3. Step 3: Cross multiply
    139,874x = 221,603 × 221,603
  4. Step 4: Simplify right side
    139,874x = 49,107,889,609
  5. Step 5: Solve for x
    x = 49,107,889,609/139,874
  6. Step 6: Final answer
    x = 351,086.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.