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Finding the Third Proportional to 6,219 and 7,609.50

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Solution

The third proportional to 6,219 and 7,609.50 is: 9,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219 : 7,609.50 = 7,609.50 : x
  2. Step 2: Convert to fraction form
    6,219/7,609.50 = 7,609.50/x
  3. Step 3: Cross multiply
    6,219x = 7,609.50 × 7,609.50
  4. Step 4: Simplify right side
    6,219x = 57,904,490.25
  5. Step 5: Solve for x
    x = 57,904,490.25/6,219
  6. Step 6: Final answer
    x = 9,310.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.