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Finding the Third Proportional to 12,420 and 26,115

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Solution

The third proportional to 12,420 and 26,115 is: 54,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420 : 26,115 = 26,115 : x
  2. Step 2: Convert to fraction form
    12,420/26,115 = 26,115/x
  3. Step 3: Cross multiply
    12,420x = 26,115 × 26,115
  4. Step 4: Simplify right side
    12,420x = 681,993,225
  5. Step 5: Solve for x
    x = 681,993,225/12,420
  6. Step 6: Final answer
    x = 54,910.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.