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Finding the Third Proportional to 8,056.13 and 11,566.13

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Solution

The third proportional to 8,056.13 and 11,566.13 is: 16,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.13 : 11,566.13 = 11,566.13 : x
  2. Step 2: Convert to fraction form
    8,056.13/11,566.13 = 11,566.13/x
  3. Step 3: Cross multiply
    8,056.13x = 11,566.13 × 11,566.13
  4. Step 4: Simplify right side
    8,056.13x = 133,775,247.52
  5. Step 5: Solve for x
    x = 133,775,247.52/8,056.13
  6. Step 6: Final answer
    x = 16,605.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.