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Finding the Third Proportional to 98,986.50 and 141,036.75

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Solution

The third proportional to 98,986.50 and 141,036.75 is: 200,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,986.50 : 141,036.75 = 141,036.75 : x
  2. Step 2: Convert to fraction form
    98,986.50/141,036.75 = 141,036.75/x
  3. Step 3: Cross multiply
    98,986.50x = 141,036.75 × 141,036.75
  4. Step 4: Simplify right side
    98,986.50x = 19,891,364,850.56
  5. Step 5: Solve for x
    x = 19,891,364,850.56/98,986.50
  6. Step 6: Final answer
    x = 200,950.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.