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Finding the Third Proportional to 45.74 and 92.90

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Solution

The third proportional to 45.74 and 92.90 is: 188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.74 : 92.90 = 92.90 : x
  2. Step 2: Convert to fraction form
    45.74/92.90 = 92.90/x
  3. Step 3: Cross multiply
    45.74x = 92.90 × 92.90
  4. Step 4: Simplify right side
    45.74x = 8,631.30
  5. Step 5: Solve for x
    x = 8,631.30/45.74
  6. Step 6: Final answer
    x = 188.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.