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Finding the Third Proportional to 308,316 and 665,595

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Solution

The third proportional to 308,316 and 665,595 is: 1,436,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,316 : 665,595 = 665,595 : x
  2. Step 2: Convert to fraction form
    308,316/665,595 = 665,595/x
  3. Step 3: Cross multiply
    308,316x = 665,595 × 665,595
  4. Step 4: Simplify right side
    308,316x = 443,016,704,025
  5. Step 5: Solve for x
    x = 443,016,704,025/308,316
  6. Step 6: Final answer
    x = 1,436,891.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.