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Finding the Third Proportional to 218,396.25 and 450,724.50

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Solution

The third proportional to 218,396.25 and 450,724.50 is: 930,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,396.25 : 450,724.50 = 450,724.50 : x
  2. Step 2: Convert to fraction form
    218,396.25/450,724.50 = 450,724.50/x
  3. Step 3: Cross multiply
    218,396.25x = 450,724.50 × 450,724.50
  4. Step 4: Simplify right side
    218,396.25x = 203,152,574,900.25
  5. Step 5: Solve for x
    x = 203,152,574,900.25/218,396.25
  6. Step 6: Final answer
    x = 930,201.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.