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Finding the Third Proportional to 30,759.75 and 40,641.75

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Solution

The third proportional to 30,759.75 and 40,641.75 is: 53,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.75 : 40,641.75 = 40,641.75 : x
  2. Step 2: Convert to fraction form
    30,759.75/40,641.75 = 40,641.75/x
  3. Step 3: Cross multiply
    30,759.75x = 40,641.75 × 40,641.75
  4. Step 4: Simplify right side
    30,759.75x = 1,651,751,843.06
  5. Step 5: Solve for x
    x = 1,651,751,843.06/30,759.75
  6. Step 6: Final answer
    x = 53,698.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.