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Finding the Third Proportional to 21,286 and 46,258

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Solution

The third proportional to 21,286 and 46,258 is: 100,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286 : 46,258 = 46,258 : x
  2. Step 2: Convert to fraction form
    21,286/46,258 = 46,258/x
  3. Step 3: Cross multiply
    21,286x = 46,258 × 46,258
  4. Step 4: Simplify right side
    21,286x = 2,139,802,564
  5. Step 5: Solve for x
    x = 2,139,802,564/21,286
  6. Step 6: Final answer
    x = 100,526.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.