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Finding the Third Proportional to 383,360 and 831,880

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Solution

The third proportional to 383,360 and 831,880 is: 1,805,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,360 : 831,880 = 831,880 : x
  2. Step 2: Convert to fraction form
    383,360/831,880 = 831,880/x
  3. Step 3: Cross multiply
    383,360x = 831,880 × 831,880
  4. Step 4: Simplify right side
    383,360x = 692,024,334,400
  5. Step 5: Solve for x
    x = 692,024,334,400/383,360
  6. Step 6: Final answer
    x = 1,805,155.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.