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Finding the Third Proportional to 30.43 and 47.55

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Solution

The third proportional to 30.43 and 47.55 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.43 : 47.55 = 47.55 : x
  2. Step 2: Convert to fraction form
    30.43/47.55 = 47.55/x
  3. Step 3: Cross multiply
    30.43x = 47.55 × 47.55
  4. Step 4: Simplify right side
    30.43x = 2,261.45
  5. Step 5: Solve for x
    x = 2,261.45/30.43
  6. Step 6: Final answer
    x = 74.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.