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Finding the Third Proportional to 427,360 and 911,912

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Solution

The third proportional to 427,360 and 911,912 is: 1,945,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,360 : 911,912 = 911,912 : x
  2. Step 2: Convert to fraction form
    427,360/911,912 = 911,912/x
  3. Step 3: Cross multiply
    427,360x = 911,912 × 911,912
  4. Step 4: Simplify right side
    427,360x = 831,583,495,744
  5. Step 5: Solve for x
    x = 831,583,495,744/427,360
  6. Step 6: Final answer
    x = 1,945,861.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.