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Finding the Third Proportional to 385,744 and 860,912

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Solution

The third proportional to 385,744 and 860,912 is: 1,921,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,744 : 860,912 = 860,912 : x
  2. Step 2: Convert to fraction form
    385,744/860,912 = 860,912/x
  3. Step 3: Cross multiply
    385,744x = 860,912 × 860,912
  4. Step 4: Simplify right side
    385,744x = 741,169,471,744
  5. Step 5: Solve for x
    x = 741,169,471,744/385,744
  6. Step 6: Final answer
    x = 1,921,402.46

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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.