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Finding the Third Proportional to 7,721 and 12,440

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Solution

The third proportional to 7,721 and 12,440 is: 20,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721 : 12,440 = 12,440 : x
  2. Step 2: Convert to fraction form
    7,721/12,440 = 12,440/x
  3. Step 3: Cross multiply
    7,721x = 12,440 × 12,440
  4. Step 4: Simplify right side
    7,721x = 154,753,600
  5. Step 5: Solve for x
    x = 154,753,600/7,721
  6. Step 6: Final answer
    x = 20,043.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.