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Finding the Third Proportional to 139,406 and 221,543

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Solution

The third proportional to 139,406 and 221,543 is: 352,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,406 : 221,543 = 221,543 : x
  2. Step 2: Convert to fraction form
    139,406/221,543 = 221,543/x
  3. Step 3: Cross multiply
    139,406x = 221,543 × 221,543
  4. Step 4: Simplify right side
    139,406x = 49,081,300,849
  5. Step 5: Solve for x
    x = 49,081,300,849/139,406
  6. Step 6: Final answer
    x = 352,074.52

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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.