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Finding the Third Proportional to 53,818 and 73,878

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Solution

The third proportional to 53,818 and 73,878 is: 101,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,818 : 73,878 = 73,878 : x
  2. Step 2: Convert to fraction form
    53,818/73,878 = 73,878/x
  3. Step 3: Cross multiply
    53,818x = 73,878 × 73,878
  4. Step 4: Simplify right side
    53,818x = 5,457,958,884
  5. Step 5: Solve for x
    x = 5,457,958,884/53,818
  6. Step 6: Final answer
    x = 101,415.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.