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Finding the Third Proportional to 70,045 and 161,989

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Solution

The third proportional to 70,045 and 161,989 is: 374,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,045 : 161,989 = 161,989 : x
  2. Step 2: Convert to fraction form
    70,045/161,989 = 161,989/x
  3. Step 3: Cross multiply
    70,045x = 161,989 × 161,989
  4. Step 4: Simplify right side
    70,045x = 26,240,436,121
  5. Step 5: Solve for x
    x = 26,240,436,121/70,045
  6. Step 6: Final answer
    x = 374,622.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.