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Finding the Third Proportional to 42,760.50 and 93,567

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Solution

The third proportional to 42,760.50 and 93,567 is: 204,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,760.50 : 93,567 = 93,567 : x
  2. Step 2: Convert to fraction form
    42,760.50/93,567 = 93,567/x
  3. Step 3: Cross multiply
    42,760.50x = 93,567 × 93,567
  4. Step 4: Simplify right side
    42,760.50x = 8,754,783,489
  5. Step 5: Solve for x
    x = 8,754,783,489/42,760.50
  6. Step 6: Final answer
    x = 204,739.97

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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.