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Finding the Third Proportional to 6,378.75 and 8,636.63

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Solution

The third proportional to 6,378.75 and 8,636.63 is: 11,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 8,636.63 = 8,636.63 : x
  2. Step 2: Convert to fraction form
    6,378.75/8,636.63 = 8,636.63/x
  3. Step 3: Cross multiply
    6,378.75x = 8,636.63 × 8,636.63
  4. Step 4: Simplify right side
    6,378.75x = 74,591,291.39
  5. Step 5: Solve for x
    x = 74,591,291.39/6,378.75
  6. Step 6: Final answer
    x = 11,693.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.