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Finding the Third Proportional to 139,886 and 221,841

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Solution

The third proportional to 139,886 and 221,841 is: 351,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,886 : 221,841 = 221,841 : x
  2. Step 2: Convert to fraction form
    139,886/221,841 = 221,841/x
  3. Step 3: Cross multiply
    139,886x = 221,841 × 221,841
  4. Step 4: Simplify right side
    139,886x = 49,213,429,281
  5. Step 5: Solve for x
    x = 49,213,429,281/139,886
  6. Step 6: Final answer
    x = 351,810.97

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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.