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Finding the Third Proportional to 308,058 and 674,091

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Solution

The third proportional to 308,058 and 674,091 is: 1,475,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,058 : 674,091 = 674,091 : x
  2. Step 2: Convert to fraction form
    308,058/674,091 = 674,091/x
  3. Step 3: Cross multiply
    308,058x = 674,091 × 674,091
  4. Step 4: Simplify right side
    308,058x = 454,398,676,281
  5. Step 5: Solve for x
    x = 454,398,676,281/308,058
  6. Step 6: Final answer
    x = 1,475,042.61

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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.