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Finding the Third Proportional to 9.47 and 17.53

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Solution

The third proportional to 9.47 and 17.53 is: 32.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.47 : 17.53 = 17.53 : x
  2. Step 2: Convert to fraction form
    9.47/17.53 = 17.53/x
  3. Step 3: Cross multiply
    9.47x = 17.53 × 17.53
  4. Step 4: Simplify right side
    9.47x = 307.34
  5. Step 5: Solve for x
    x = 307.34/9.47
  6. Step 6: Final answer
    x = 32.46

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.