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Finding the Third Proportional to 30,378.80 and 40,896.14

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Solution

The third proportional to 30,378.80 and 40,896.14 is: 55,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.80 : 40,896.14 = 40,896.14 : x
  2. Step 2: Convert to fraction form
    30,378.80/40,896.14 = 40,896.14/x
  3. Step 3: Cross multiply
    30,378.80x = 40,896.14 × 40,896.14
  4. Step 4: Simplify right side
    30,378.80x = 1,672,494,318.02
  5. Step 5: Solve for x
    x = 1,672,494,318.02/30,378.80
  6. Step 6: Final answer
    x = 55,054.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.