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Finding the Third Proportional to 207,406 and 454,988

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Solution

The third proportional to 207,406 and 454,988 is: 998,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,406 : 454,988 = 454,988 : x
  2. Step 2: Convert to fraction form
    207,406/454,988 = 454,988/x
  3. Step 3: Cross multiply
    207,406x = 454,988 × 454,988
  4. Step 4: Simplify right side
    207,406x = 207,014,080,144
  5. Step 5: Solve for x
    x = 207,014,080,144/207,406
  6. Step 6: Final answer
    x = 998,110.37

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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.