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Finding the Third Proportional to 201,569 and 439,978

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Solution

The third proportional to 201,569 and 439,978 is: 960,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,569 : 439,978 = 439,978 : x
  2. Step 2: Convert to fraction form
    201,569/439,978 = 439,978/x
  3. Step 3: Cross multiply
    201,569x = 439,978 × 439,978
  4. Step 4: Simplify right side
    201,569x = 193,580,640,484
  5. Step 5: Solve for x
    x = 193,580,640,484/201,569
  6. Step 6: Final answer
    x = 960,369.11

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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.