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Finding the Third Proportional to 66,789 and 103,878

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Solution

The third proportional to 66,789 and 103,878 is: 161,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,789 : 103,878 = 103,878 : x
  2. Step 2: Convert to fraction form
    66,789/103,878 = 103,878/x
  3. Step 3: Cross multiply
    66,789x = 103,878 × 103,878
  4. Step 4: Simplify right side
    66,789x = 10,790,638,884
  5. Step 5: Solve for x
    x = 10,790,638,884/66,789
  6. Step 6: Final answer
    x = 161,563.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.