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Finding the Third Proportional to 204,678 and 440,460

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Solution

The third proportional to 204,678 and 440,460 is: 947,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,678 : 440,460 = 440,460 : x
  2. Step 2: Convert to fraction form
    204,678/440,460 = 440,460/x
  3. Step 3: Cross multiply
    204,678x = 440,460 × 440,460
  4. Step 4: Simplify right side
    204,678x = 194,005,011,600
  5. Step 5: Solve for x
    x = 194,005,011,600/204,678
  6. Step 6: Final answer
    x = 947,854.74

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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.