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Finding the Third Proportional to 312,808 and 674,252

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Solution

The third proportional to 312,808 and 674,252 is: 1,453,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,808 : 674,252 = 674,252 : x
  2. Step 2: Convert to fraction form
    312,808/674,252 = 674,252/x
  3. Step 3: Cross multiply
    312,808x = 674,252 × 674,252
  4. Step 4: Simplify right side
    312,808x = 454,615,759,504
  5. Step 5: Solve for x
    x = 454,615,759,504/312,808
  6. Step 6: Final answer
    x = 1,453,338.02

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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.