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Finding the Third Proportional to 15,922.50 and 34,193

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Solution

The third proportional to 15,922.50 and 34,193 is: 73,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.50 : 34,193 = 34,193 : x
  2. Step 2: Convert to fraction form
    15,922.50/34,193 = 34,193/x
  3. Step 3: Cross multiply
    15,922.50x = 34,193 × 34,193
  4. Step 4: Simplify right side
    15,922.50x = 1,169,161,249
  5. Step 5: Solve for x
    x = 1,169,161,249/15,922.50
  6. Step 6: Final answer
    x = 73,428.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.