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Finding the Third Proportional to 641,684 and 897,168

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Solution

The third proportional to 641,684 and 897,168 is: 1,254,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,684 : 897,168 = 897,168 : x
  2. Step 2: Convert to fraction form
    641,684/897,168 = 897,168/x
  3. Step 3: Cross multiply
    641,684x = 897,168 × 897,168
  4. Step 4: Simplify right side
    641,684x = 804,910,420,224
  5. Step 5: Solve for x
    x = 804,910,420,224/641,684
  6. Step 6: Final answer
    x = 1,254,371.97

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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.