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Finding the Third Proportional to 407,911 and 894,220

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Solution

The third proportional to 407,911 and 894,220 is: 1,960,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,911 : 894,220 = 894,220 : x
  2. Step 2: Convert to fraction form
    407,911/894,220 = 894,220/x
  3. Step 3: Cross multiply
    407,911x = 894,220 × 894,220
  4. Step 4: Simplify right side
    407,911x = 799,629,408,400
  5. Step 5: Solve for x
    x = 799,629,408,400/407,911
  6. Step 6: Final answer
    x = 1,960,303.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.