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Finding the Third Proportional to 201,905 and 440,487

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Solution

The third proportional to 201,905 and 440,487 is: 960,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905 : 440,487 = 440,487 : x
  2. Step 2: Convert to fraction form
    201,905/440,487 = 440,487/x
  3. Step 3: Cross multiply
    201,905x = 440,487 × 440,487
  4. Step 4: Simplify right side
    201,905x = 194,028,797,169
  5. Step 5: Solve for x
    x = 194,028,797,169/201,905
  6. Step 6: Final answer
    x = 960,990.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.