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Finding the Third Proportional to 4,385.81 and 8,367.47

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Solution

The third proportional to 4,385.81 and 8,367.47 is: 15,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.81 : 8,367.47 = 8,367.47 : x
  2. Step 2: Convert to fraction form
    4,385.81/8,367.47 = 8,367.47/x
  3. Step 3: Cross multiply
    4,385.81x = 8,367.47 × 8,367.47
  4. Step 4: Simplify right side
    4,385.81x = 70,014,533.28
  5. Step 5: Solve for x
    x = 70,014,533.28/4,385.81
  6. Step 6: Final answer
    x = 15,963.87

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.