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Finding the Third Proportional to 385,728 and 860,880

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Solution

The third proportional to 385,728 and 860,880 is: 1,921,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,728 : 860,880 = 860,880 : x
  2. Step 2: Convert to fraction form
    385,728/860,880 = 860,880/x
  3. Step 3: Cross multiply
    385,728x = 860,880 × 860,880
  4. Step 4: Simplify right side
    385,728x = 741,114,374,400
  5. Step 5: Solve for x
    x = 741,114,374,400/385,728
  6. Step 6: Final answer
    x = 1,921,339.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.