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Finding the Third Proportional to 207,806 and 454,490

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Solution

The third proportional to 207,806 and 454,490 is: 994,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,806 : 454,490 = 454,490 : x
  2. Step 2: Convert to fraction form
    207,806/454,490 = 454,490/x
  3. Step 3: Cross multiply
    207,806x = 454,490 × 454,490
  4. Step 4: Simplify right side
    207,806x = 206,561,160,100
  5. Step 5: Solve for x
    x = 206,561,160,100/207,806
  6. Step 6: Final answer
    x = 994,009.61

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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.