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Finding the Third Proportional to 43,078 and 62,946

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Solution

The third proportional to 43,078 and 62,946 is: 91,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,078 : 62,946 = 62,946 : x
  2. Step 2: Convert to fraction form
    43,078/62,946 = 62,946/x
  3. Step 3: Cross multiply
    43,078x = 62,946 × 62,946
  4. Step 4: Simplify right side
    43,078x = 3,962,198,916
  5. Step 5: Solve for x
    x = 3,962,198,916/43,078
  6. Step 6: Final answer
    x = 91,977.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.