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Finding the Third Proportional to 211,134 and 439,683

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Solution

The third proportional to 211,134 and 439,683 is: 915,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,134 : 439,683 = 439,683 : x
  2. Step 2: Convert to fraction form
    211,134/439,683 = 439,683/x
  3. Step 3: Cross multiply
    211,134x = 439,683 × 439,683
  4. Step 4: Simplify right side
    211,134x = 193,321,140,489
  5. Step 5: Solve for x
    x = 193,321,140,489/211,134
  6. Step 6: Final answer
    x = 915,632.44

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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.