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Finding the Third Proportional to 677,604 and 990,972

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Solution

The third proportional to 677,604 and 990,972 is: 1,449,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,604 : 990,972 = 990,972 : x
  2. Step 2: Convert to fraction form
    677,604/990,972 = 990,972/x
  3. Step 3: Cross multiply
    677,604x = 990,972 × 990,972
  4. Step 4: Simplify right side
    677,604x = 982,025,504,784
  5. Step 5: Solve for x
    x = 982,025,504,784/677,604
  6. Step 6: Final answer
    x = 1,449,261.67

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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.