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Finding the Third Proportional to 8,991 and 13,160.81

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Solution

The third proportional to 8,991 and 13,160.81 is: 19,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991 : 13,160.81 = 13,160.81 : x
  2. Step 2: Convert to fraction form
    8,991/13,160.81 = 13,160.81/x
  3. Step 3: Cross multiply
    8,991x = 13,160.81 × 13,160.81
  4. Step 4: Simplify right side
    8,991x = 173,206,985.66
  5. Step 5: Solve for x
    x = 173,206,985.66/8,991
  6. Step 6: Final answer
    x = 19,264.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.