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Finding the Third Proportional to 453,660.75 and 990,425.25

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Solution

The third proportional to 453,660.75 and 990,425.25 is: 2,162,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,660.75 : 990,425.25 = 990,425.25 : x
  2. Step 2: Convert to fraction form
    453,660.75/990,425.25 = 990,425.25/x
  3. Step 3: Cross multiply
    453,660.75x = 990,425.25 × 990,425.25
  4. Step 4: Simplify right side
    453,660.75x = 980,942,175,837.56
  5. Step 5: Solve for x
    x = 980,942,175,837.56/453,660.75
  6. Step 6: Final answer
    x = 2,162,281.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.