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Finding the Third Proportional to 4,978.42 and 6,756.42

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Solution

The third proportional to 4,978.42 and 6,756.42 is: 9,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.42 : 6,756.42 = 6,756.42 : x
  2. Step 2: Convert to fraction form
    4,978.42/6,756.42 = 6,756.42/x
  3. Step 3: Cross multiply
    4,978.42x = 6,756.42 × 6,756.42
  4. Step 4: Simplify right side
    4,978.42x = 45,649,216.76
  5. Step 5: Solve for x
    x = 45,649,216.76/4,978.42
  6. Step 6: Final answer
    x = 9,169.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.