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Finding the Third Proportional to 211,898 and 441,220

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Solution

The third proportional to 211,898 and 441,220 is: 918,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,898 : 441,220 = 441,220 : x
  2. Step 2: Convert to fraction form
    211,898/441,220 = 441,220/x
  3. Step 3: Cross multiply
    211,898x = 441,220 × 441,220
  4. Step 4: Simplify right side
    211,898x = 194,675,088,400
  5. Step 5: Solve for x
    x = 194,675,088,400/211,898
  6. Step 6: Final answer
    x = 918,720.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.