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Finding the Third Proportional to 10,320 and 11,170.50

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Solution

The third proportional to 10,320 and 11,170.50 is: 12,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320 : 11,170.50 = 11,170.50 : x
  2. Step 2: Convert to fraction form
    10,320/11,170.50 = 11,170.50/x
  3. Step 3: Cross multiply
    10,320x = 11,170.50 × 11,170.50
  4. Step 4: Simplify right side
    10,320x = 124,780,070.25
  5. Step 5: Solve for x
    x = 124,780,070.25/10,320
  6. Step 6: Final answer
    x = 12,091.09

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.