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Finding the Third Proportional to 211,422.50 and 440,287

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Solution

The third proportional to 211,422.50 and 440,287 is: 916,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,422.50 : 440,287 = 440,287 : x
  2. Step 2: Convert to fraction form
    211,422.50/440,287 = 440,287/x
  3. Step 3: Cross multiply
    211,422.50x = 440,287 × 440,287
  4. Step 4: Simplify right side
    211,422.50x = 193,852,642,369
  5. Step 5: Solve for x
    x = 193,852,642,369/211,422.50
  6. Step 6: Final answer
    x = 916,896.94

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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.