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Finding the Third Proportional to 7,449.47 and 11,838.66

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Solution

The third proportional to 7,449.47 and 11,838.66 is: 18,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.47 : 11,838.66 = 11,838.66 : x
  2. Step 2: Convert to fraction form
    7,449.47/11,838.66 = 11,838.66/x
  3. Step 3: Cross multiply
    7,449.47x = 11,838.66 × 11,838.66
  4. Step 4: Simplify right side
    7,449.47x = 140,153,781.81
  5. Step 5: Solve for x
    x = 140,153,781.81/7,449.47
  6. Step 6: Final answer
    x = 18,813.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.