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Finding the Third Proportional to 201,644 and 309,516

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Solution

The third proportional to 201,644 and 309,516 is: 475,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644 : 309,516 = 309,516 : x
  2. Step 2: Convert to fraction form
    201,644/309,516 = 309,516/x
  3. Step 3: Cross multiply
    201,644x = 309,516 × 309,516
  4. Step 4: Simplify right side
    201,644x = 95,800,154,256
  5. Step 5: Solve for x
    x = 95,800,154,256/201,644
  6. Step 6: Final answer
    x = 475,095.49

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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.