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Finding the Third Proportional to 66,203.25 and 85,003.31

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Solution

The third proportional to 66,203.25 and 85,003.31 is: 109,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,203.25 : 85,003.31 = 85,003.31 : x
  2. Step 2: Convert to fraction form
    66,203.25/85,003.31 = 85,003.31/x
  3. Step 3: Cross multiply
    66,203.25x = 85,003.31 × 85,003.31
  4. Step 4: Simplify right side
    66,203.25x = 7,225,563,135.97
  5. Step 5: Solve for x
    x = 7,225,563,135.97/66,203.25
  6. Step 6: Final answer
    x = 109,142.12

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.