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Finding the Third Proportional to 7,083 and 8,956.50

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Solution

The third proportional to 7,083 and 8,956.50 is: 11,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083 : 8,956.50 = 8,956.50 : x
  2. Step 2: Convert to fraction form
    7,083/8,956.50 = 8,956.50/x
  3. Step 3: Cross multiply
    7,083x = 8,956.50 × 8,956.50
  4. Step 4: Simplify right side
    7,083x = 80,218,892.25
  5. Step 5: Solve for x
    x = 80,218,892.25/7,083
  6. Step 6: Final answer
    x = 11,325.55

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.