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Finding the Third Proportional to 200,050 and 309,551

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Solution

The third proportional to 200,050 and 309,551 is: 478,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,050 : 309,551 = 309,551 : x
  2. Step 2: Convert to fraction form
    200,050/309,551 = 309,551/x
  3. Step 3: Cross multiply
    200,050x = 309,551 × 309,551
  4. Step 4: Simplify right side
    200,050x = 95,821,821,601
  5. Step 5: Solve for x
    x = 95,821,821,601/200,050
  6. Step 6: Final answer
    x = 478,989.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.