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Finding the Third Proportional to 30,778.25 and 66,153.75

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Solution

The third proportional to 30,778.25 and 66,153.75 is: 142,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.25 : 66,153.75 = 66,153.75 : x
  2. Step 2: Convert to fraction form
    30,778.25/66,153.75 = 66,153.75/x
  3. Step 3: Cross multiply
    30,778.25x = 66,153.75 × 66,153.75
  4. Step 4: Simplify right side
    30,778.25x = 4,376,318,639.06
  5. Step 5: Solve for x
    x = 4,376,318,639.06/30,778.25
  6. Step 6: Final answer
    x = 142,188.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.