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Finding the Third Proportional to 677,898 and 899,671

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Solution

The third proportional to 677,898 and 899,671 is: 1,193,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,898 : 899,671 = 899,671 : x
  2. Step 2: Convert to fraction form
    677,898/899,671 = 899,671/x
  3. Step 3: Cross multiply
    677,898x = 899,671 × 899,671
  4. Step 4: Simplify right side
    677,898x = 809,407,908,241
  5. Step 5: Solve for x
    x = 809,407,908,241/677,898
  6. Step 6: Final answer
    x = 1,193,996.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.