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Finding the Third Proportional to 8,821.75 and 13,718.50

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Solution

The third proportional to 8,821.75 and 13,718.50 is: 21,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.75 : 13,718.50 = 13,718.50 : x
  2. Step 2: Convert to fraction form
    8,821.75/13,718.50 = 13,718.50/x
  3. Step 3: Cross multiply
    8,821.75x = 13,718.50 × 13,718.50
  4. Step 4: Simplify right side
    8,821.75x = 188,197,242.25
  5. Step 5: Solve for x
    x = 188,197,242.25/8,821.75
  6. Step 6: Final answer
    x = 21,333.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.