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Finding the Third Proportional to 30,378.80 and 66,908.53

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Solution

The third proportional to 30,378.80 and 66,908.53 is: 147,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.80 : 66,908.53 = 66,908.53 : x
  2. Step 2: Convert to fraction form
    30,378.80/66,908.53 = 66,908.53/x
  3. Step 3: Cross multiply
    30,378.80x = 66,908.53 × 66,908.53
  4. Step 4: Simplify right side
    30,378.80x = 4,476,751,554.03
  5. Step 5: Solve for x
    x = 4,476,751,554.03/30,378.80
  6. Step 6: Final answer
    x = 147,364.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.