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Finding the Third Proportional to 308,595 and 674,865

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Solution

The third proportional to 308,595 and 674,865 is: 1,475,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,595 : 674,865 = 674,865 : x
  2. Step 2: Convert to fraction form
    308,595/674,865 = 674,865/x
  3. Step 3: Cross multiply
    308,595x = 674,865 × 674,865
  4. Step 4: Simplify right side
    308,595x = 455,442,768,225
  5. Step 5: Solve for x
    x = 455,442,768,225/308,595
  6. Step 6: Final answer
    x = 1,475,859.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.