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Finding the Third Proportional to 205,008 and 420,222

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Solution

The third proportional to 205,008 and 420,222 is: 861,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,008 : 420,222 = 420,222 : x
  2. Step 2: Convert to fraction form
    205,008/420,222 = 420,222/x
  3. Step 3: Cross multiply
    205,008x = 420,222 × 420,222
  4. Step 4: Simplify right side
    205,008x = 176,586,529,284
  5. Step 5: Solve for x
    x = 176,586,529,284/205,008
  6. Step 6: Final answer
    x = 861,364.09

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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.