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Finding the Third Proportional to 8,253 and 17,797.50

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Solution

The third proportional to 8,253 and 17,797.50 is: 38,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253 : 17,797.50 = 17,797.50 : x
  2. Step 2: Convert to fraction form
    8,253/17,797.50 = 17,797.50/x
  3. Step 3: Cross multiply
    8,253x = 17,797.50 × 17,797.50
  4. Step 4: Simplify right side
    8,253x = 316,751,006.25
  5. Step 5: Solve for x
    x = 316,751,006.25/8,253
  6. Step 6: Final answer
    x = 38,380.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.