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Finding the Third Proportional to 5,350 and 8,403.50

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Solution

The third proportional to 5,350 and 8,403.50 is: 13,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350 : 8,403.50 = 8,403.50 : x
  2. Step 2: Convert to fraction form
    5,350/8,403.50 = 8,403.50/x
  3. Step 3: Cross multiply
    5,350x = 8,403.50 × 8,403.50
  4. Step 4: Simplify right side
    5,350x = 70,618,812.25
  5. Step 5: Solve for x
    x = 70,618,812.25/5,350
  6. Step 6: Final answer
    x = 13,199.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.