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Finding the Third Proportional to 51,469 and 74,858

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Solution

The third proportional to 51,469 and 74,858 is: 108,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469 : 74,858 = 74,858 : x
  2. Step 2: Convert to fraction form
    51,469/74,858 = 74,858/x
  3. Step 3: Cross multiply
    51,469x = 74,858 × 74,858
  4. Step 4: Simplify right side
    51,469x = 5,603,720,164
  5. Step 5: Solve for x
    x = 5,603,720,164/51,469
  6. Step 6: Final answer
    x = 108,875.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.