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Finding the Third Proportional to 12,440 and 19,261

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Solution

The third proportional to 12,440 and 19,261 is: 29,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440 : 19,261 = 19,261 : x
  2. Step 2: Convert to fraction form
    12,440/19,261 = 19,261/x
  3. Step 3: Cross multiply
    12,440x = 19,261 × 19,261
  4. Step 4: Simplify right side
    12,440x = 370,986,121
  5. Step 5: Solve for x
    x = 370,986,121/12,440
  6. Step 6: Final answer
    x = 29,822.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.