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Finding the Third Proportional to 204,213 and 439,865

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Solution

The third proportional to 204,213 and 439,865 is: 947,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,213 : 439,865 = 439,865 : x
  2. Step 2: Convert to fraction form
    204,213/439,865 = 439,865/x
  3. Step 3: Cross multiply
    204,213x = 439,865 × 439,865
  4. Step 4: Simplify right side
    204,213x = 193,481,218,225
  5. Step 5: Solve for x
    x = 193,481,218,225/204,213
  6. Step 6: Final answer
    x = 947,448.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.