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Finding the Third Proportional to 13,280 and 26,920

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Solution

The third proportional to 13,280 and 26,920 is: 54,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280 : 26,920 = 26,920 : x
  2. Step 2: Convert to fraction form
    13,280/26,920 = 26,920/x
  3. Step 3: Cross multiply
    13,280x = 26,920 × 26,920
  4. Step 4: Simplify right side
    13,280x = 724,686,400
  5. Step 5: Solve for x
    x = 724,686,400/13,280
  6. Step 6: Final answer
    x = 54,569.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.