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Finding the Third Proportional to 150,558 and 221,678

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Solution

The third proportional to 150,558 and 221,678 is: 326,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,558 : 221,678 = 221,678 : x
  2. Step 2: Convert to fraction form
    150,558/221,678 = 221,678/x
  3. Step 3: Cross multiply
    150,558x = 221,678 × 221,678
  4. Step 4: Simplify right side
    150,558x = 49,141,135,684
  5. Step 5: Solve for x
    x = 49,141,135,684/150,558
  6. Step 6: Final answer
    x = 326,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.