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Finding the Third Proportional to 201,645 and 309,518

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Solution

The third proportional to 201,645 and 309,518 is: 475,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645 : 309,518 = 309,518 : x
  2. Step 2: Convert to fraction form
    201,645/309,518 = 309,518/x
  3. Step 3: Cross multiply
    201,645x = 309,518 × 309,518
  4. Step 4: Simplify right side
    201,645x = 95,801,392,324
  5. Step 5: Solve for x
    x = 95,801,392,324/201,645
  6. Step 6: Final answer
    x = 475,099.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.