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Finding the Third Proportional to 71,455.50 and 156,519

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Solution

The third proportional to 71,455.50 and 156,519 is: 342,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,455.50 : 156,519 = 156,519 : x
  2. Step 2: Convert to fraction form
    71,455.50/156,519 = 156,519/x
  3. Step 3: Cross multiply
    71,455.50x = 156,519 × 156,519
  4. Step 4: Simplify right side
    71,455.50x = 24,498,197,361
  5. Step 5: Solve for x
    x = 24,498,197,361/71,455.50
  6. Step 6: Final answer
    x = 342,845.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.