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Finding the Third Proportional to 677,609 and 990,979

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Solution

The third proportional to 677,609 and 990,979 is: 1,449,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,609 : 990,979 = 990,979 : x
  2. Step 2: Convert to fraction form
    677,609/990,979 = 990,979/x
  3. Step 3: Cross multiply
    677,609x = 990,979 × 990,979
  4. Step 4: Simplify right side
    677,609x = 982,039,378,441
  5. Step 5: Solve for x
    x = 982,039,378,441/677,609
  6. Step 6: Final answer
    x = 1,449,271.45

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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.