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Finding the Third Proportional to 345,986 and 743,703.50

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Solution

The third proportional to 345,986 and 743,703.50 is: 1,598,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,986 : 743,703.50 = 743,703.50 : x
  2. Step 2: Convert to fraction form
    345,986/743,703.50 = 743,703.50/x
  3. Step 3: Cross multiply
    345,986x = 743,703.50 × 743,703.50
  4. Step 4: Simplify right side
    345,986x = 553,094,895,912.25
  5. Step 5: Solve for x
    x = 553,094,895,912.25/345,986
  6. Step 6: Final answer
    x = 1,598,604.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.