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Finding the Third Proportional to 51,858 and 75,518

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Solution

The third proportional to 51,858 and 75,518 is: 109,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,858 : 75,518 = 75,518 : x
  2. Step 2: Convert to fraction form
    51,858/75,518 = 75,518/x
  3. Step 3: Cross multiply
    51,858x = 75,518 × 75,518
  4. Step 4: Simplify right side
    51,858x = 5,702,968,324
  5. Step 5: Solve for x
    x = 5,702,968,324/51,858
  6. Step 6: Final answer
    x = 109,972.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.