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Finding the Third Proportional to 6,378.19 and 14,077.69

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Solution

The third proportional to 6,378.19 and 14,077.69 is: 31,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.19 : 14,077.69 = 14,077.69 : x
  2. Step 2: Convert to fraction form
    6,378.19/14,077.69 = 14,077.69/x
  3. Step 3: Cross multiply
    6,378.19x = 14,077.69 × 14,077.69
  4. Step 4: Simplify right side
    6,378.19x = 198,181,285.35
  5. Step 5: Solve for x
    x = 198,181,285.35/6,378.19
  6. Step 6: Final answer
    x = 31,071.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.