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Finding the Third Proportional to 9,138.47 and 19,636.69

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Solution

The third proportional to 9,138.47 and 19,636.69 is: 42,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.47 : 19,636.69 = 19,636.69 : x
  2. Step 2: Convert to fraction form
    9,138.47/19,636.69 = 19,636.69/x
  3. Step 3: Cross multiply
    9,138.47x = 19,636.69 × 19,636.69
  4. Step 4: Simplify right side
    9,138.47x = 385,599,495.97
  5. Step 5: Solve for x
    x = 385,599,495.97/9,138.47
  6. Step 6: Final answer
    x = 42,195.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.