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Finding the Third Proportional to 43.07 and 92.90

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Solution

The third proportional to 43.07 and 92.90 is: 200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.07 : 92.90 = 92.90 : x
  2. Step 2: Convert to fraction form
    43.07/92.90 = 92.90/x
  3. Step 3: Cross multiply
    43.07x = 92.90 × 92.90
  4. Step 4: Simplify right side
    43.07x = 8,631.30
  5. Step 5: Solve for x
    x = 8,631.30/43.07
  6. Step 6: Final answer
    x = 200.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.