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Finding the Third Proportional to 189,978 and 405,382

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Solution

The third proportional to 189,978 and 405,382 is: 865,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,978 : 405,382 = 405,382 : x
  2. Step 2: Convert to fraction form
    189,978/405,382 = 405,382/x
  3. Step 3: Cross multiply
    189,978x = 405,382 × 405,382
  4. Step 4: Simplify right side
    189,978x = 164,334,565,924
  5. Step 5: Solve for x
    x = 164,334,565,924/189,978
  6. Step 6: Final answer
    x = 865,018.93

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.