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Finding the Third Proportional to 428,302.69 and 921,197.81

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Solution

The third proportional to 428,302.69 and 921,197.81 is: 1,981,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,302.69 : 921,197.81 = 921,197.81 : x
  2. Step 2: Convert to fraction form
    428,302.69/921,197.81 = 921,197.81/x
  3. Step 3: Cross multiply
    428,302.69x = 921,197.81 × 921,197.81
  4. Step 4: Simplify right side
    428,302.69x = 848,605,409,754.79
  5. Step 5: Solve for x
    x = 848,605,409,754.79/428,302.69
  6. Step 6: Final answer
    x = 1,981,321.70

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Why These Related Problems?

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