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Finding the Third Proportional to 641,673 and 897,147

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Solution

The third proportional to 641,673 and 897,147 is: 1,254,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,673 : 897,147 = 897,147 : x
  2. Step 2: Convert to fraction form
    641,673/897,147 = 897,147/x
  3. Step 3: Cross multiply
    641,673x = 897,147 × 897,147
  4. Step 4: Simplify right side
    641,673x = 804,872,739,609
  5. Step 5: Solve for x
    x = 804,872,739,609/641,673
  6. Step 6: Final answer
    x = 1,254,334.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.