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Finding the Third Proportional to 53,774 and 78,351

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Solution

The third proportional to 53,774 and 78,351 is: 114,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774 : 78,351 = 78,351 : x
  2. Step 2: Convert to fraction form
    53,774/78,351 = 78,351/x
  3. Step 3: Cross multiply
    53,774x = 78,351 × 78,351
  4. Step 4: Simplify right side
    53,774x = 6,138,879,201
  5. Step 5: Solve for x
    x = 6,138,879,201/53,774
  6. Step 6: Final answer
    x = 114,160.73

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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.