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Finding the Third Proportional to 8,976 and 13,801.50

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Solution

The third proportional to 8,976 and 13,801.50 is: 21,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976 : 13,801.50 = 13,801.50 : x
  2. Step 2: Convert to fraction form
    8,976/13,801.50 = 13,801.50/x
  3. Step 3: Cross multiply
    8,976x = 13,801.50 × 13,801.50
  4. Step 4: Simplify right side
    8,976x = 190,481,402.25
  5. Step 5: Solve for x
    x = 190,481,402.25/8,976
  6. Step 6: Final answer
    x = 21,221.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.