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Finding the Third Proportional to 12,339.84 and 16,869.09

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Solution

The third proportional to 12,339.84 and 16,869.09 is: 23,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.84 : 16,869.09 = 16,869.09 : x
  2. Step 2: Convert to fraction form
    12,339.84/16,869.09 = 16,869.09/x
  3. Step 3: Cross multiply
    12,339.84x = 16,869.09 × 16,869.09
  4. Step 4: Simplify right side
    12,339.84x = 284,566,323.95
  5. Step 5: Solve for x
    x = 284,566,323.95/12,339.84
  6. Step 6: Final answer
    x = 23,060.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.