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Finding the Third Proportional to 66,975 and 91,206.50

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Solution

The third proportional to 66,975 and 91,206.50 is: 124,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,975 : 91,206.50 = 91,206.50 : x
  2. Step 2: Convert to fraction form
    66,975/91,206.50 = 91,206.50/x
  3. Step 3: Cross multiply
    66,975x = 91,206.50 × 91,206.50
  4. Step 4: Simplify right side
    66,975x = 8,318,625,642.25
  5. Step 5: Solve for x
    x = 8,318,625,642.25/66,975
  6. Step 6: Final answer
    x = 124,204.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.