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Finding the Third Proportional to 722,935 and 1,082,214.50

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Solution

The third proportional to 722,935 and 1,082,214.50 is: 1,620,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,935 : 1,082,214.50 = 1,082,214.50 : x
  2. Step 2: Convert to fraction form
    722,935/1,082,214.50 = 1,082,214.50/x
  3. Step 3: Cross multiply
    722,935x = 1,082,214.50 × 1,082,214.50
  4. Step 4: Simplify right side
    722,935x = 1,171,188,224,010.25
  5. Step 5: Solve for x
    x = 1,171,188,224,010.25/722,935
  6. Step 6: Final answer
    x = 1,620,046.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.