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Finding the Third Proportional to 51,020 and 74,974

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Solution

The third proportional to 51,020 and 74,974 is: 110,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,020 : 74,974 = 74,974 : x
  2. Step 2: Convert to fraction form
    51,020/74,974 = 74,974/x
  3. Step 3: Cross multiply
    51,020x = 74,974 × 74,974
  4. Step 4: Simplify right side
    51,020x = 5,621,100,676
  5. Step 5: Solve for x
    x = 5,621,100,676/51,020
  6. Step 6: Final answer
    x = 110,174.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.