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Finding the Third Proportional to 14,139 and 27,915

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Solution

The third proportional to 14,139 and 27,915 is: 55,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139 : 27,915 = 27,915 : x
  2. Step 2: Convert to fraction form
    14,139/27,915 = 27,915/x
  3. Step 3: Cross multiply
    14,139x = 27,915 × 27,915
  4. Step 4: Simplify right side
    14,139x = 779,247,225
  5. Step 5: Solve for x
    x = 779,247,225/14,139
  6. Step 6: Final answer
    x = 55,113.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.