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Finding the Third Proportional to 43,767 and 96,043.50

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Solution

The third proportional to 43,767 and 96,043.50 is: 210,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,767 : 96,043.50 = 96,043.50 : x
  2. Step 2: Convert to fraction form
    43,767/96,043.50 = 96,043.50/x
  3. Step 3: Cross multiply
    43,767x = 96,043.50 × 96,043.50
  4. Step 4: Simplify right side
    43,767x = 9,224,353,892.25
  5. Step 5: Solve for x
    x = 9,224,353,892.25/43,767
  6. Step 6: Final answer
    x = 210,760.48

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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.