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Finding the Third Proportional to 8,943.42 and 13,166.85

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Solution

The third proportional to 8,943.42 and 13,166.85 is: 19,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.42 : 13,166.85 = 13,166.85 : x
  2. Step 2: Convert to fraction form
    8,943.42/13,166.85 = 13,166.85/x
  3. Step 3: Cross multiply
    8,943.42x = 13,166.85 × 13,166.85
  4. Step 4: Simplify right side
    8,943.42x = 173,365,954.35
  5. Step 5: Solve for x
    x = 173,365,954.35/8,943.42
  6. Step 6: Final answer
    x = 19,384.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.