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Finding the Third Proportional to 308,597 and 674,869

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Solution

The third proportional to 308,597 and 674,869 is: 1,475,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,597 : 674,869 = 674,869 : x
  2. Step 2: Convert to fraction form
    308,597/674,869 = 674,869/x
  3. Step 3: Cross multiply
    308,597x = 674,869 × 674,869
  4. Step 4: Simplify right side
    308,597x = 455,448,167,161
  5. Step 5: Solve for x
    x = 455,448,167,161/308,597
  6. Step 6: Final answer
    x = 1,475,867.12

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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.