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Finding the Third Proportional to 8,444.72 and 11,814.93

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Solution

The third proportional to 8,444.72 and 11,814.93 is: 16,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.72 : 11,814.93 = 11,814.93 : x
  2. Step 2: Convert to fraction form
    8,444.72/11,814.93 = 11,814.93/x
  3. Step 3: Cross multiply
    8,444.72x = 11,814.93 × 11,814.93
  4. Step 4: Simplify right side
    8,444.72x = 139,592,471.22
  5. Step 5: Solve for x
    x = 139,592,471.22/8,444.72
  6. Step 6: Final answer
    x = 16,530.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.