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Finding the Third Proportional to 41,946 and 81,768

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Solution

The third proportional to 41,946 and 81,768 is: 159,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,946 : 81,768 = 81,768 : x
  2. Step 2: Convert to fraction form
    41,946/81,768 = 81,768/x
  3. Step 3: Cross multiply
    41,946x = 81,768 × 81,768
  4. Step 4: Simplify right side
    41,946x = 6,686,005,824
  5. Step 5: Solve for x
    x = 6,686,005,824/41,946
  6. Step 6: Final answer
    x = 159,395.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.