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Finding the Third Proportional to 139,420 and 221,592

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Solution

The third proportional to 139,420 and 221,592 is: 352,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,420 : 221,592 = 221,592 : x
  2. Step 2: Convert to fraction form
    139,420/221,592 = 221,592/x
  3. Step 3: Cross multiply
    139,420x = 221,592 × 221,592
  4. Step 4: Simplify right side
    139,420x = 49,103,014,464
  5. Step 5: Solve for x
    x = 49,103,014,464/139,420
  6. Step 6: Final answer
    x = 352,194.91

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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.