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Finding the Third Proportional to 150,550 and 221,666

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Solution

The third proportional to 150,550 and 221,666 is: 326,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,550 : 221,666 = 221,666 : x
  2. Step 2: Convert to fraction form
    150,550/221,666 = 221,666/x
  3. Step 3: Cross multiply
    150,550x = 221,666 × 221,666
  4. Step 4: Simplify right side
    150,550x = 49,135,815,556
  5. Step 5: Solve for x
    x = 49,135,815,556/150,550
  6. Step 6: Final answer
    x = 326,375.39

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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.