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Finding the Third Proportional to 428,105.25 and 913,209.19

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Solution

The third proportional to 428,105.25 and 913,209.19 is: 1,948,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,105.25 : 913,209.19 = 913,209.19 : x
  2. Step 2: Convert to fraction form
    428,105.25/913,209.19 = 913,209.19/x
  3. Step 3: Cross multiply
    428,105.25x = 913,209.19 × 913,209.19
  4. Step 4: Simplify right side
    428,105.25x = 833,951,020,134.41
  5. Step 5: Solve for x
    x = 833,951,020,134.41/428,105.25
  6. Step 6: Final answer
    x = 1,948,004.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.