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Finding the Third Proportional to 13,005.56 and 27,879.19

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Solution

The third proportional to 13,005.56 and 27,879.19 is: 59,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.56 : 27,879.19 = 27,879.19 : x
  2. Step 2: Convert to fraction form
    13,005.56/27,879.19 = 27,879.19/x
  3. Step 3: Cross multiply
    13,005.56x = 27,879.19 × 27,879.19
  4. Step 4: Simplify right side
    13,005.56x = 777,249,095.66
  5. Step 5: Solve for x
    x = 777,249,095.66/13,005.56
  6. Step 6: Final answer
    x = 59,762.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.