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Finding the Third Proportional to 3,911.63 and 8,420.63

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Solution

The third proportional to 3,911.63 and 8,420.63 is: 18,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.63 : 8,420.63 = 8,420.63 : x
  2. Step 2: Convert to fraction form
    3,911.63/8,420.63 = 8,420.63/x
  3. Step 3: Cross multiply
    3,911.63x = 8,420.63 × 8,420.63
  4. Step 4: Simplify right side
    3,911.63x = 70,906,925.39
  5. Step 5: Solve for x
    x = 70,906,925.39/3,911.63
  6. Step 6: Final answer
    x = 18,127.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.