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Finding the Third Proportional to 428,556.75 and 921,609.75

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Solution

The third proportional to 428,556.75 and 921,609.75 is: 1,981,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,556.75 : 921,609.75 = 921,609.75 : x
  2. Step 2: Convert to fraction form
    428,556.75/921,609.75 = 921,609.75/x
  3. Step 3: Cross multiply
    428,556.75x = 921,609.75 × 921,609.75
  4. Step 4: Simplify right side
    428,556.75x = 849,364,531,295.06
  5. Step 5: Solve for x
    x = 849,364,531,295.06/428,556.75
  6. Step 6: Final answer
    x = 1,981,918.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.