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Finding the Third Proportional to 9,445.50 and 14,286.94

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Solution

The third proportional to 9,445.50 and 14,286.94 is: 21,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.50 : 14,286.94 = 14,286.94 : x
  2. Step 2: Convert to fraction form
    9,445.50/14,286.94 = 14,286.94/x
  3. Step 3: Cross multiply
    9,445.50x = 14,286.94 × 14,286.94
  4. Step 4: Simplify right side
    9,445.50x = 204,116,583.13
  5. Step 5: Solve for x
    x = 204,116,583.13/9,445.50
  6. Step 6: Final answer
    x = 21,609.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.