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Finding the Third Proportional to 677,611 and 990,982

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Solution

The third proportional to 677,611 and 990,982 is: 1,449,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,611 : 990,982 = 990,982 : x
  2. Step 2: Convert to fraction form
    677,611/990,982 = 990,982/x
  3. Step 3: Cross multiply
    677,611x = 990,982 × 990,982
  4. Step 4: Simplify right side
    677,611x = 982,045,324,324
  5. Step 5: Solve for x
    x = 982,045,324,324/677,611
  6. Step 6: Final answer
    x = 1,449,275.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.