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Finding the Third Proportional to 35,798 and 78,676

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Solution

The third proportional to 35,798 and 78,676 is: 172,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798 : 78,676 = 78,676 : x
  2. Step 2: Convert to fraction form
    35,798/78,676 = 78,676/x
  3. Step 3: Cross multiply
    35,798x = 78,676 × 78,676
  4. Step 4: Simplify right side
    35,798x = 6,189,912,976
  5. Step 5: Solve for x
    x = 6,189,912,976/35,798
  6. Step 6: Final answer
    x = 172,912.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.