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Finding the Third Proportional to 51,905 and 73,968

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Solution

The third proportional to 51,905 and 73,968 is: 105,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905 : 73,968 = 73,968 : x
  2. Step 2: Convert to fraction form
    51,905/73,968 = 73,968/x
  3. Step 3: Cross multiply
    51,905x = 73,968 × 73,968
  4. Step 4: Simplify right side
    51,905x = 5,471,265,024
  5. Step 5: Solve for x
    x = 5,471,265,024/51,905
  6. Step 6: Final answer
    x = 105,409.21

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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.