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Finding the Third Proportional to 161,978 and 340,336

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Solution

The third proportional to 161,978 and 340,336 is: 715,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,978 : 340,336 = 340,336 : x
  2. Step 2: Convert to fraction form
    161,978/340,336 = 340,336/x
  3. Step 3: Cross multiply
    161,978x = 340,336 × 340,336
  4. Step 4: Simplify right side
    161,978x = 115,828,592,896
  5. Step 5: Solve for x
    x = 115,828,592,896/161,978
  6. Step 6: Final answer
    x = 715,088.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.