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Finding the Third Proportional to 312,998 and 674,668

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Solution

The third proportional to 312,998 and 674,668 is: 1,454,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,998 : 674,668 = 674,668 : x
  2. Step 2: Convert to fraction form
    312,998/674,668 = 674,668/x
  3. Step 3: Cross multiply
    312,998x = 674,668 × 674,668
  4. Step 4: Simplify right side
    312,998x = 455,176,910,224
  5. Step 5: Solve for x
    x = 455,176,910,224/312,998
  6. Step 6: Final answer
    x = 1,454,248.62

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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.