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Finding the Third Proportional to 434,978 and 922,180

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Solution

The third proportional to 434,978 and 922,180 is: 1,955,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,978 : 922,180 = 922,180 : x
  2. Step 2: Convert to fraction form
    434,978/922,180 = 922,180/x
  3. Step 3: Cross multiply
    434,978x = 922,180 × 922,180
  4. Step 4: Simplify right side
    434,978x = 850,415,952,400
  5. Step 5: Solve for x
    x = 850,415,952,400/434,978
  6. Step 6: Final answer
    x = 1,955,078.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.