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Finding the Third Proportional to 139,828 and 221,515

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Solution

The third proportional to 139,828 and 221,515 is: 350,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,828 : 221,515 = 221,515 : x
  2. Step 2: Convert to fraction form
    139,828/221,515 = 221,515/x
  3. Step 3: Cross multiply
    139,828x = 221,515 × 221,515
  4. Step 4: Simplify right side
    139,828x = 49,068,895,225
  5. Step 5: Solve for x
    x = 49,068,895,225/139,828
  6. Step 6: Final answer
    x = 350,923.24

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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.