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Finding the Third Proportional to 428,361 and 952,462.50

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Solution

The third proportional to 428,361 and 952,462.50 is: 2,117,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,361 : 952,462.50 = 952,462.50 : x
  2. Step 2: Convert to fraction form
    428,361/952,462.50 = 952,462.50/x
  3. Step 3: Cross multiply
    428,361x = 952,462.50 × 952,462.50
  4. Step 4: Simplify right side
    428,361x = 907,184,813,906.25
  5. Step 5: Solve for x
    x = 907,184,813,906.25/428,361
  6. Step 6: Final answer
    x = 2,117,804.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.