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Finding the Third Proportional to 105,635.25 and 145,275.75

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Solution

The third proportional to 105,635.25 and 145,275.75 is: 199,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,635.25 : 145,275.75 = 145,275.75 : x
  2. Step 2: Convert to fraction form
    105,635.25/145,275.75 = 145,275.75/x
  3. Step 3: Cross multiply
    105,635.25x = 145,275.75 × 145,275.75
  4. Step 4: Simplify right side
    105,635.25x = 21,105,043,538.06
  5. Step 5: Solve for x
    x = 21,105,043,538.06/105,635.25
  6. Step 6: Final answer
    x = 199,791.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.