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Finding the Third Proportional to 139,924 and 221,921

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Solution

The third proportional to 139,924 and 221,921 is: 351,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,924 : 221,921 = 221,921 : x
  2. Step 2: Convert to fraction form
    139,924/221,921 = 221,921/x
  3. Step 3: Cross multiply
    139,924x = 221,921 × 221,921
  4. Step 4: Simplify right side
    139,924x = 49,248,930,241
  5. Step 5: Solve for x
    x = 49,248,930,241/139,924
  6. Step 6: Final answer
    x = 351,969.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.