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Finding the Third Proportional to 43,430 and 68,825

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Solution

The third proportional to 43,430 and 68,825 is: 109,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,430 : 68,825 = 68,825 : x
  2. Step 2: Convert to fraction form
    43,430/68,825 = 68,825/x
  3. Step 3: Cross multiply
    43,430x = 68,825 × 68,825
  4. Step 4: Simplify right side
    43,430x = 4,736,880,625
  5. Step 5: Solve for x
    x = 4,736,880,625/43,430
  6. Step 6: Final answer
    x = 109,069.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.