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Finding the Third Proportional to 145,812 and 347,762

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Solution

The third proportional to 145,812 and 347,762 is: 829,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812 : 347,762 = 347,762 : x
  2. Step 2: Convert to fraction form
    145,812/347,762 = 347,762/x
  3. Step 3: Cross multiply
    145,812x = 347,762 × 347,762
  4. Step 4: Simplify right side
    145,812x = 120,938,408,644
  5. Step 5: Solve for x
    x = 120,938,408,644/145,812
  6. Step 6: Final answer
    x = 829,413.28

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.