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Finding the Third Proportional to 8,565.75 and 10,100.25

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Solution

The third proportional to 8,565.75 and 10,100.25 is: 11,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 10,100.25 = 10,100.25 : x
  2. Step 2: Convert to fraction form
    8,565.75/10,100.25 = 10,100.25/x
  3. Step 3: Cross multiply
    8,565.75x = 10,100.25 × 10,100.25
  4. Step 4: Simplify right side
    8,565.75x = 102,015,050.06
  5. Step 5: Solve for x
    x = 102,015,050.06/8,565.75
  6. Step 6: Final answer
    x = 11,909.65

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.