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Finding the Third Proportional to 641,920 and 897,416

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Solution

The third proportional to 641,920 and 897,416 is: 1,254,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,920 : 897,416 = 897,416 : x
  2. Step 2: Convert to fraction form
    641,920/897,416 = 897,416/x
  3. Step 3: Cross multiply
    641,920x = 897,416 × 897,416
  4. Step 4: Simplify right side
    641,920x = 805,355,477,056
  5. Step 5: Solve for x
    x = 805,355,477,056/641,920
  6. Step 6: Final answer
    x = 1,254,604.12

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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.