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Finding the Third Proportional to 350,078 and 386,168

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Solution

The third proportional to 350,078 and 386,168 is: 425,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,078 : 386,168 = 386,168 : x
  2. Step 2: Convert to fraction form
    350,078/386,168 = 386,168/x
  3. Step 3: Cross multiply
    350,078x = 386,168 × 386,168
  4. Step 4: Simplify right side
    350,078x = 149,125,724,224
  5. Step 5: Solve for x
    x = 149,125,724,224/350,078
  6. Step 6: Final answer
    x = 425,978.57

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.