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Finding the Third Proportional to 43.78 and 93.63

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Solution

The third proportional to 43.78 and 93.63 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.78 : 93.63 = 93.63 : x
  2. Step 2: Convert to fraction form
    43.78/93.63 = 93.63/x
  3. Step 3: Cross multiply
    43.78x = 93.63 × 93.63
  4. Step 4: Simplify right side
    43.78x = 8,767.10
  5. Step 5: Solve for x
    x = 8,767.10/43.78
  6. Step 6: Final answer
    x = 200.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.