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Finding the Third Proportional to 13,582.69 and 19,509.19

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Solution

The third proportional to 13,582.69 and 19,509.19 is: 28,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.69 : 19,509.19 = 19,509.19 : x
  2. Step 2: Convert to fraction form
    13,582.69/19,509.19 = 19,509.19/x
  3. Step 3: Cross multiply
    13,582.69x = 19,509.19 × 19,509.19
  4. Step 4: Simplify right side
    13,582.69x = 380,608,396.91
  5. Step 5: Solve for x
    x = 380,608,396.91/13,582.69
  6. Step 6: Final answer
    x = 28,021.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.