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Finding the Third Proportional to 15,403.92 and 17,023.92

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Solution

The third proportional to 15,403.92 and 17,023.92 is: 18,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,403.92 : 17,023.92 = 17,023.92 : x
  2. Step 2: Convert to fraction form
    15,403.92/17,023.92 = 17,023.92/x
  3. Step 3: Cross multiply
    15,403.92x = 17,023.92 × 17,023.92
  4. Step 4: Simplify right side
    15,403.92x = 289,813,916.01
  5. Step 5: Solve for x
    x = 289,813,916.01/15,403.92
  6. Step 6: Final answer
    x = 18,814.29

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.