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Finding the Third Proportional to 53,676 and 77,418

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Solution

The third proportional to 53,676 and 77,418 is: 111,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,676 : 77,418 = 77,418 : x
  2. Step 2: Convert to fraction form
    53,676/77,418 = 77,418/x
  3. Step 3: Cross multiply
    53,676x = 77,418 × 77,418
  4. Step 4: Simplify right side
    53,676x = 5,993,546,724
  5. Step 5: Solve for x
    x = 5,993,546,724/53,676
  6. Step 6: Final answer
    x = 111,661.58

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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.