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Finding the Third Proportional to 45.47 and 70.44

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Solution

The third proportional to 45.47 and 70.44 is: 109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.47 : 70.44 = 70.44 : x
  2. Step 2: Convert to fraction form
    45.47/70.44 = 70.44/x
  3. Step 3: Cross multiply
    45.47x = 70.44 × 70.44
  4. Step 4: Simplify right side
    45.47x = 4,961.44
  5. Step 5: Solve for x
    x = 4,961.44/45.47
  6. Step 6: Final answer
    x = 109.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.