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Finding the Third Proportional to 211,560 and 440,610

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Solution

The third proportional to 211,560 and 440,610 is: 917,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,560 : 440,610 = 440,610 : x
  2. Step 2: Convert to fraction form
    211,560/440,610 = 440,610/x
  3. Step 3: Cross multiply
    211,560x = 440,610 × 440,610
  4. Step 4: Simplify right side
    211,560x = 194,137,172,100
  5. Step 5: Solve for x
    x = 194,137,172,100/211,560
  6. Step 6: Final answer
    x = 917,645.93

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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.