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Finding the Third Proportional to 4,119.61 and 9,165.66

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Solution

The third proportional to 4,119.61 and 9,165.66 is: 20,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.61 : 9,165.66 = 9,165.66 : x
  2. Step 2: Convert to fraction form
    4,119.61/9,165.66 = 9,165.66/x
  3. Step 3: Cross multiply
    4,119.61x = 9,165.66 × 9,165.66
  4. Step 4: Simplify right side
    4,119.61x = 84,009,254.49
  5. Step 5: Solve for x
    x = 84,009,254.49/4,119.61
  6. Step 6: Final answer
    x = 20,392.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.