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Finding the Third Proportional to 8,535 and 9,763.50

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Solution

The third proportional to 8,535 and 9,763.50 is: 11,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535 : 9,763.50 = 9,763.50 : x
  2. Step 2: Convert to fraction form
    8,535/9,763.50 = 9,763.50/x
  3. Step 3: Cross multiply
    8,535x = 9,763.50 × 9,763.50
  4. Step 4: Simplify right side
    8,535x = 95,325,932.25
  5. Step 5: Solve for x
    x = 95,325,932.25/8,535
  6. Step 6: Final answer
    x = 11,168.83

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.