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Finding the Third Proportional to 12,640 and 19,270

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Solution

The third proportional to 12,640 and 19,270 is: 29,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640 : 19,270 = 19,270 : x
  2. Step 2: Convert to fraction form
    12,640/19,270 = 19,270/x
  3. Step 3: Cross multiply
    12,640x = 19,270 × 19,270
  4. Step 4: Simplify right side
    12,640x = 371,332,900
  5. Step 5: Solve for x
    x = 371,332,900/12,640
  6. Step 6: Final answer
    x = 29,377.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.