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Finding the Third Proportional to 200,322.75 and 309,765

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Solution

The third proportional to 200,322.75 and 309,765 is: 478,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,322.75 : 309,765 = 309,765 : x
  2. Step 2: Convert to fraction form
    200,322.75/309,765 = 309,765/x
  3. Step 3: Cross multiply
    200,322.75x = 309,765 × 309,765
  4. Step 4: Simplify right side
    200,322.75x = 95,954,355,225
  5. Step 5: Solve for x
    x = 95,954,355,225/200,322.75
  6. Step 6: Final answer
    x = 478,998.79

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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.