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Finding the Third Proportional to 6,142.50 and 13,346.44

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Solution

The third proportional to 6,142.50 and 13,346.44 is: 28,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.50 : 13,346.44 = 13,346.44 : x
  2. Step 2: Convert to fraction form
    6,142.50/13,346.44 = 13,346.44/x
  3. Step 3: Cross multiply
    6,142.50x = 13,346.44 × 13,346.44
  4. Step 4: Simplify right side
    6,142.50x = 178,127,393.94
  5. Step 5: Solve for x
    x = 178,127,393.94/6,142.50
  6. Step 6: Final answer
    x = 28,999.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.