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Finding the Third Proportional to 11,871.50 and 18,455

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Solution

The third proportional to 11,871.50 and 18,455 is: 28,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.50 : 18,455 = 18,455 : x
  2. Step 2: Convert to fraction form
    11,871.50/18,455 = 18,455/x
  3. Step 3: Cross multiply
    11,871.50x = 18,455 × 18,455
  4. Step 4: Simplify right side
    11,871.50x = 340,587,025
  5. Step 5: Solve for x
    x = 340,587,025/11,871.50
  6. Step 6: Final answer
    x = 28,689.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.