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Finding the Third Proportional to 21,509 and 47,258

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Solution

The third proportional to 21,509 and 47,258 is: 103,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509 : 47,258 = 47,258 : x
  2. Step 2: Convert to fraction form
    21,509/47,258 = 47,258/x
  3. Step 3: Cross multiply
    21,509x = 47,258 × 47,258
  4. Step 4: Simplify right side
    21,509x = 2,233,318,564
  5. Step 5: Solve for x
    x = 2,233,318,564/21,509
  6. Step 6: Final answer
    x = 103,831.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.