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Finding the Third Proportional to 71,137 and 148,851

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Solution

The third proportional to 71,137 and 148,851 is: 311,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,137 : 148,851 = 148,851 : x
  2. Step 2: Convert to fraction form
    71,137/148,851 = 148,851/x
  3. Step 3: Cross multiply
    71,137x = 148,851 × 148,851
  4. Step 4: Simplify right side
    71,137x = 22,156,620,201
  5. Step 5: Solve for x
    x = 22,156,620,201/71,137
  6. Step 6: Final answer
    x = 311,464.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.