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Finding the Third Proportional to 677,322 and 991,089

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Solution

The third proportional to 677,322 and 991,089 is: 1,450,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,322 : 991,089 = 991,089 : x
  2. Step 2: Convert to fraction form
    677,322/991,089 = 991,089/x
  3. Step 3: Cross multiply
    677,322x = 991,089 × 991,089
  4. Step 4: Simplify right side
    677,322x = 982,257,405,921
  5. Step 5: Solve for x
    x = 982,257,405,921/677,322
  6. Step 6: Final answer
    x = 1,450,207.44

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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.