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Finding the Third Proportional to 7.47 and 19.19

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Solution

The third proportional to 7.47 and 19.19 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.47 : 19.19 = 19.19 : x
  2. Step 2: Convert to fraction form
    7.47/19.19 = 19.19/x
  3. Step 3: Cross multiply
    7.47x = 19.19 × 19.19
  4. Step 4: Simplify right side
    7.47x = 368.11
  5. Step 5: Solve for x
    x = 368.11/7.47
  6. Step 6: Final answer
    x = 49.28

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.