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Finding the Third Proportional to 5,782.88 and 6,390.38

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Solution

The third proportional to 5,782.88 and 6,390.38 is: 7,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.88 : 6,390.38 = 6,390.38 : x
  2. Step 2: Convert to fraction form
    5,782.88/6,390.38 = 6,390.38/x
  3. Step 3: Cross multiply
    5,782.88x = 6,390.38 × 6,390.38
  4. Step 4: Simplify right side
    5,782.88x = 40,836,892.64
  5. Step 5: Solve for x
    x = 40,836,892.64/5,782.88
  6. Step 6: Final answer
    x = 7,061.69

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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.