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Finding the Third Proportional to 51,906 and 73,970

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Solution

The third proportional to 51,906 and 73,970 is: 105,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906 : 73,970 = 73,970 : x
  2. Step 2: Convert to fraction form
    51,906/73,970 = 73,970/x
  3. Step 3: Cross multiply
    51,906x = 73,970 × 73,970
  4. Step 4: Simplify right side
    51,906x = 5,471,560,900
  5. Step 5: Solve for x
    x = 5,471,560,900/51,906
  6. Step 6: Final answer
    x = 105,412.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.