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Finding the Third Proportional to 66,015 and 84,523.50

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Solution

The third proportional to 66,015 and 84,523.50 is: 108,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 84,523.50 = 84,523.50 : x
  2. Step 2: Convert to fraction form
    66,015/84,523.50 = 84,523.50/x
  3. Step 3: Cross multiply
    66,015x = 84,523.50 × 84,523.50
  4. Step 4: Simplify right side
    66,015x = 7,144,222,052.25
  5. Step 5: Solve for x
    x = 7,144,222,052.25/66,015
  6. Step 6: Final answer
    x = 108,221.19

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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.