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Finding the Third Proportional to 5,197.69 and 9,916.69

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Solution

The third proportional to 5,197.69 and 9,916.69 is: 18,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.69 : 9,916.69 = 9,916.69 : x
  2. Step 2: Convert to fraction form
    5,197.69/9,916.69 = 9,916.69/x
  3. Step 3: Cross multiply
    5,197.69x = 9,916.69 × 9,916.69
  4. Step 4: Simplify right side
    5,197.69x = 98,340,690.97
  5. Step 5: Solve for x
    x = 98,340,690.97/5,197.69
  6. Step 6: Final answer
    x = 18,920.09

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.