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Finding the Third Proportional to 428,935.50 and 847,104.75

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Solution

The third proportional to 428,935.50 and 847,104.75 is: 1,672,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,935.50 : 847,104.75 = 847,104.75 : x
  2. Step 2: Convert to fraction form
    428,935.50/847,104.75 = 847,104.75/x
  3. Step 3: Cross multiply
    428,935.50x = 847,104.75 × 847,104.75
  4. Step 4: Simplify right side
    428,935.50x = 717,586,457,472.56
  5. Step 5: Solve for x
    x = 717,586,457,472.56/428,935.50
  6. Step 6: Final answer
    x = 1,672,947.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.