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Finding the Third Proportional to 201,916 and 440,507

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Solution

The third proportional to 201,916 and 440,507 is: 961,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,916 : 440,507 = 440,507 : x
  2. Step 2: Convert to fraction form
    201,916/440,507 = 440,507/x
  3. Step 3: Cross multiply
    201,916x = 440,507 × 440,507
  4. Step 4: Simplify right side
    201,916x = 194,046,417,049
  5. Step 5: Solve for x
    x = 194,046,417,049/201,916
  6. Step 6: Final answer
    x = 961,025.46

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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.