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Finding the Third Proportional to 664,823 and 996,987

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Solution

The third proportional to 664,823 and 996,987 is: 1,495,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,823 : 996,987 = 996,987 : x
  2. Step 2: Convert to fraction form
    664,823/996,987 = 996,987/x
  3. Step 3: Cross multiply
    664,823x = 996,987 × 996,987
  4. Step 4: Simplify right side
    664,823x = 993,983,078,169
  5. Step 5: Solve for x
    x = 993,983,078,169/664,823
  6. Step 6: Final answer
    x = 1,495,109.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.