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Finding the Third Proportional to 43,790 and 96,052

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Solution

The third proportional to 43,790 and 96,052 is: 210,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,790 : 96,052 = 96,052 : x
  2. Step 2: Convert to fraction form
    43,790/96,052 = 96,052/x
  3. Step 3: Cross multiply
    43,790x = 96,052 × 96,052
  4. Step 4: Simplify right side
    43,790x = 9,225,986,704
  5. Step 5: Solve for x
    x = 9,225,986,704/43,790
  6. Step 6: Final answer
    x = 210,687.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.