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Finding the Third Proportional to 22.35 and 40.48

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Solution

The third proportional to 22.35 and 40.48 is: 73.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.35 : 40.48 = 40.48 : x
  2. Step 2: Convert to fraction form
    22.35/40.48 = 40.48/x
  3. Step 3: Cross multiply
    22.35x = 40.48 × 40.48
  4. Step 4: Simplify right side
    22.35x = 1,638.45
  5. Step 5: Solve for x
    x = 1,638.45/22.35
  6. Step 6: Final answer
    x = 73.30

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.