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Finding the Third Proportional to 211,230 and 439,938

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Solution

The third proportional to 211,230 and 439,938 is: 916,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,230 : 439,938 = 439,938 : x
  2. Step 2: Convert to fraction form
    211,230/439,938 = 439,938/x
  3. Step 3: Cross multiply
    211,230x = 439,938 × 439,938
  4. Step 4: Simplify right side
    211,230x = 193,545,443,844
  5. Step 5: Solve for x
    x = 193,545,443,844/211,230
  6. Step 6: Final answer
    x = 916,278.20

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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.