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Finding the Third Proportional to 19,220 and 30,147

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Solution

The third proportional to 19,220 and 30,147 is: 47,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,220 : 30,147 = 30,147 : x
  2. Step 2: Convert to fraction form
    19,220/30,147 = 30,147/x
  3. Step 3: Cross multiply
    19,220x = 30,147 × 30,147
  4. Step 4: Simplify right side
    19,220x = 908,841,609
  5. Step 5: Solve for x
    x = 908,841,609/19,220
  6. Step 6: Final answer
    x = 47,286.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.