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Finding the Third Proportional to 42.50 and 92.07

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Solution

The third proportional to 42.50 and 92.07 is: 199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.50 : 92.07 = 92.07 : x
  2. Step 2: Convert to fraction form
    42.50/92.07 = 92.07/x
  3. Step 3: Cross multiply
    42.50x = 92.07 × 92.07
  4. Step 4: Simplify right side
    42.50x = 8,477.66
  5. Step 5: Solve for x
    x = 8,477.66/42.50
  6. Step 6: Final answer
    x = 199.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.