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Finding the Third Proportional to 94,324.50 and 142,701.75

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Solution

The third proportional to 94,324.50 and 142,701.75 is: 215,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,324.50 : 142,701.75 = 142,701.75 : x
  2. Step 2: Convert to fraction form
    94,324.50/142,701.75 = 142,701.75/x
  3. Step 3: Cross multiply
    94,324.50x = 142,701.75 × 142,701.75
  4. Step 4: Simplify right side
    94,324.50x = 20,363,789,453.06
  5. Step 5: Solve for x
    x = 20,363,789,453.06/94,324.50
  6. Step 6: Final answer
    x = 215,890.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.