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Finding the Third Proportional to 7,640 and 12,252

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Solution

The third proportional to 7,640 and 12,252 is: 19,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640 : 12,252 = 12,252 : x
  2. Step 2: Convert to fraction form
    7,640/12,252 = 12,252/x
  3. Step 3: Cross multiply
    7,640x = 12,252 × 12,252
  4. Step 4: Simplify right side
    7,640x = 150,111,504
  5. Step 5: Solve for x
    x = 150,111,504/7,640
  6. Step 6: Final answer
    x = 19,648.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.