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Finding the Third Proportional to 200,286 and 309,260.25

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Solution

The third proportional to 200,286 and 309,260.25 is: 477,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,286 : 309,260.25 = 309,260.25 : x
  2. Step 2: Convert to fraction form
    200,286/309,260.25 = 309,260.25/x
  3. Step 3: Cross multiply
    200,286x = 309,260.25 × 309,260.25
  4. Step 4: Simplify right side
    200,286x = 95,641,902,230.06
  5. Step 5: Solve for x
    x = 95,641,902,230.06/200,286
  6. Step 6: Final answer
    x = 477,526.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.