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Finding the Third Proportional to 30,828.97 and 66,336.81

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Solution

The third proportional to 30,828.97 and 66,336.81 is: 142,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.97 : 66,336.81 = 66,336.81 : x
  2. Step 2: Convert to fraction form
    30,828.97/66,336.81 = 66,336.81/x
  3. Step 3: Cross multiply
    30,828.97x = 66,336.81 × 66,336.81
  4. Step 4: Simplify right side
    30,828.97x = 4,400,572,692.66
  5. Step 5: Solve for x
    x = 4,400,572,692.66/30,828.97
  6. Step 6: Final answer
    x = 142,741.48

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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.