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Finding the Third Proportional to 10,381.50 and 11,296.13

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Solution

The third proportional to 10,381.50 and 11,296.13 is: 12,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.50 : 11,296.13 = 11,296.13 : x
  2. Step 2: Convert to fraction form
    10,381.50/11,296.13 = 11,296.13/x
  3. Step 3: Cross multiply
    10,381.50x = 11,296.13 × 11,296.13
  4. Step 4: Simplify right side
    10,381.50x = 127,602,440.02
  5. Step 5: Solve for x
    x = 127,602,440.02/10,381.50
  6. Step 6: Final answer
    x = 12,291.33

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.