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Finding the Third Proportional to 63,137.50 and 128,451

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Solution

The third proportional to 63,137.50 and 128,451 is: 261,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,137.50 : 128,451 = 128,451 : x
  2. Step 2: Convert to fraction form
    63,137.50/128,451 = 128,451/x
  3. Step 3: Cross multiply
    63,137.50x = 128,451 × 128,451
  4. Step 4: Simplify right side
    63,137.50x = 16,499,659,401
  5. Step 5: Solve for x
    x = 16,499,659,401/63,137.50
  6. Step 6: Final answer
    x = 261,328.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.