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Finding the Third Proportional to 21,418 and 25,258

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Solution

The third proportional to 21,418 and 25,258 is: 29,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,418 : 25,258 = 25,258 : x
  2. Step 2: Convert to fraction form
    21,418/25,258 = 25,258/x
  3. Step 3: Cross multiply
    21,418x = 25,258 × 25,258
  4. Step 4: Simplify right side
    21,418x = 637,966,564
  5. Step 5: Solve for x
    x = 637,966,564/21,418
  6. Step 6: Final answer
    x = 29,786.47

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.