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Finding the Third Proportional to 205,026 and 420,258

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Solution

The third proportional to 205,026 and 420,258 is: 861,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,026 : 420,258 = 420,258 : x
  2. Step 2: Convert to fraction form
    205,026/420,258 = 420,258/x
  3. Step 3: Cross multiply
    205,026x = 420,258 × 420,258
  4. Step 4: Simplify right side
    205,026x = 176,616,786,564
  5. Step 5: Solve for x
    x = 176,616,786,564/205,026
  6. Step 6: Final answer
    x = 861,436.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.