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Finding the Third Proportional to 6,400.69 and 7,084.13

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Solution

The third proportional to 6,400.69 and 7,084.13 is: 7,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.69 : 7,084.13 = 7,084.13 : x
  2. Step 2: Convert to fraction form
    6,400.69/7,084.13 = 7,084.13/x
  3. Step 3: Cross multiply
    6,400.69x = 7,084.13 × 7,084.13
  4. Step 4: Simplify right side
    6,400.69x = 50,184,827.02
  5. Step 5: Solve for x
    x = 50,184,827.02/6,400.69
  6. Step 6: Final answer
    x = 7,840.54

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.