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Finding the Third Proportional to 211,232 and 439,942

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Solution

The third proportional to 211,232 and 439,942 is: 916,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,232 : 439,942 = 439,942 : x
  2. Step 2: Convert to fraction form
    211,232/439,942 = 439,942/x
  3. Step 3: Cross multiply
    211,232x = 439,942 × 439,942
  4. Step 4: Simplify right side
    211,232x = 193,548,963,364
  5. Step 5: Solve for x
    x = 193,548,963,364/211,232
  6. Step 6: Final answer
    x = 916,286.18

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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.