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Finding the Third Proportional to 6,232.50 and 14,414.06

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Solution

The third proportional to 6,232.50 and 14,414.06 is: 33,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.50 : 14,414.06 = 14,414.06 : x
  2. Step 2: Convert to fraction form
    6,232.50/14,414.06 = 14,414.06/x
  3. Step 3: Cross multiply
    6,232.50x = 14,414.06 × 14,414.06
  4. Step 4: Simplify right side
    6,232.50x = 207,765,197.75
  5. Step 5: Solve for x
    x = 207,765,197.75/6,232.50
  6. Step 6: Final answer
    x = 33,335.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.