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Finding the Third Proportional to 6,440 and 14,110

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Solution

The third proportional to 6,440 and 14,110 is: 30,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440 : 14,110 = 14,110 : x
  2. Step 2: Convert to fraction form
    6,440/14,110 = 14,110/x
  3. Step 3: Cross multiply
    6,440x = 14,110 × 14,110
  4. Step 4: Simplify right side
    6,440x = 199,092,100
  5. Step 5: Solve for x
    x = 199,092,100/6,440
  6. Step 6: Final answer
    x = 30,914.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.