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Finding the Third Proportional to 68,445 and 100,305

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Solution

The third proportional to 68,445 and 100,305 is: 146,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,445 : 100,305 = 100,305 : x
  2. Step 2: Convert to fraction form
    68,445/100,305 = 100,305/x
  3. Step 3: Cross multiply
    68,445x = 100,305 × 100,305
  4. Step 4: Simplify right side
    68,445x = 10,061,093,025
  5. Step 5: Solve for x
    x = 10,061,093,025/68,445
  6. Step 6: Final answer
    x = 146,995.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.