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Finding the Third Proportional to 12,329.11 and 18,688.28

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Solution

The third proportional to 12,329.11 and 18,688.28 is: 28,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.11 : 18,688.28 = 18,688.28 : x
  2. Step 2: Convert to fraction form
    12,329.11/18,688.28 = 18,688.28/x
  3. Step 3: Cross multiply
    12,329.11x = 18,688.28 × 18,688.28
  4. Step 4: Simplify right side
    12,329.11x = 349,251,737.45
  5. Step 5: Solve for x
    x = 349,251,737.45/12,329.11
  6. Step 6: Final answer
    x = 28,327.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.