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Finding the Third Proportional to 428,555.25 and 933,304.50

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Solution

The third proportional to 428,555.25 and 933,304.50 is: 2,032,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,555.25 : 933,304.50 = 933,304.50 : x
  2. Step 2: Convert to fraction form
    428,555.25/933,304.50 = 933,304.50/x
  3. Step 3: Cross multiply
    428,555.25x = 933,304.50 × 933,304.50
  4. Step 4: Simplify right side
    428,555.25x = 871,057,289,720.25
  5. Step 5: Solve for x
    x = 871,057,289,720.25/428,555.25
  6. Step 6: Final answer
    x = 2,032,543.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.