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Finding the Third Proportional to 122,269 and 259,258

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Solution

The third proportional to 122,269 and 259,258 is: 549,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,269 : 259,258 = 259,258 : x
  2. Step 2: Convert to fraction form
    122,269/259,258 = 259,258/x
  3. Step 3: Cross multiply
    122,269x = 259,258 × 259,258
  4. Step 4: Simplify right side
    122,269x = 67,214,710,564
  5. Step 5: Solve for x
    x = 67,214,710,564/122,269
  6. Step 6: Final answer
    x = 549,728.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.