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Finding the Third Proportional to 160,978 and 354,008

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Solution

The third proportional to 160,978 and 354,008 is: 778,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978 : 354,008 = 354,008 : x
  2. Step 2: Convert to fraction form
    160,978/354,008 = 354,008/x
  3. Step 3: Cross multiply
    160,978x = 354,008 × 354,008
  4. Step 4: Simplify right side
    160,978x = 125,321,664,064
  5. Step 5: Solve for x
    x = 125,321,664,064/160,978
  6. Step 6: Final answer
    x = 778,501.81

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