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Finding the Third Proportional to 6,489 and 8,140.50

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Solution

The third proportional to 6,489 and 8,140.50 is: 10,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 8,140.50 = 8,140.50 : x
  2. Step 2: Convert to fraction form
    6,489/8,140.50 = 8,140.50/x
  3. Step 3: Cross multiply
    6,489x = 8,140.50 × 8,140.50
  4. Step 4: Simplify right side
    6,489x = 66,267,740.25
  5. Step 5: Solve for x
    x = 66,267,740.25/6,489
  6. Step 6: Final answer
    x = 10,212.32

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.