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Finding the Third Proportional to 213,222 and 459,258

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Solution

The third proportional to 213,222 and 459,258 is: 989,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,222 : 459,258 = 459,258 : x
  2. Step 2: Convert to fraction form
    213,222/459,258 = 459,258/x
  3. Step 3: Cross multiply
    213,222x = 459,258 × 459,258
  4. Step 4: Simplify right side
    213,222x = 210,917,910,564
  5. Step 5: Solve for x
    x = 210,917,910,564/213,222
  6. Step 6: Final answer
    x = 989,193.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.