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Finding the Third Proportional to 5,336.93 and 11,699.02

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Solution

The third proportional to 5,336.93 and 11,699.02 is: 25,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.93 : 11,699.02 = 11,699.02 : x
  2. Step 2: Convert to fraction form
    5,336.93/11,699.02 = 11,699.02/x
  3. Step 3: Cross multiply
    5,336.93x = 11,699.02 × 11,699.02
  4. Step 4: Simplify right side
    5,336.93x = 136,866,966.59
  5. Step 5: Solve for x
    x = 136,866,966.59/5,336.93
  6. Step 6: Final answer
    x = 25,645.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.