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Finding the Third Proportional to 53,651 and 77,380

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Solution

The third proportional to 53,651 and 77,380 is: 111,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,651 : 77,380 = 77,380 : x
  2. Step 2: Convert to fraction form
    53,651/77,380 = 77,380/x
  3. Step 3: Cross multiply
    53,651x = 77,380 × 77,380
  4. Step 4: Simplify right side
    53,651x = 5,987,664,400
  5. Step 5: Solve for x
    x = 5,987,664,400/53,651
  6. Step 6: Final answer
    x = 111,603.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.