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Finding the Third Proportional to 12,153 and 18,208.50

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Solution

The third proportional to 12,153 and 18,208.50 is: 27,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153 : 18,208.50 = 18,208.50 : x
  2. Step 2: Convert to fraction form
    12,153/18,208.50 = 18,208.50/x
  3. Step 3: Cross multiply
    12,153x = 18,208.50 × 18,208.50
  4. Step 4: Simplify right side
    12,153x = 331,549,472.25
  5. Step 5: Solve for x
    x = 331,549,472.25/12,153
  6. Step 6: Final answer
    x = 27,281.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.