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Finding the Third Proportional to 30.56 and 47.10

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Solution

The third proportional to 30.56 and 47.10 is: 72.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.56 : 47.10 = 47.10 : x
  2. Step 2: Convert to fraction form
    30.56/47.10 = 47.10/x
  3. Step 3: Cross multiply
    30.56x = 47.10 × 47.10
  4. Step 4: Simplify right side
    30.56x = 2,218.24
  5. Step 5: Solve for x
    x = 2,218.24/30.56
  6. Step 6: Final answer
    x = 72.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.