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Finding the Third Proportional to 428,073.61 and 922,372.31

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Solution

The third proportional to 428,073.61 and 922,372.31 is: 1,987,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,073.61 : 922,372.31 = 922,372.31 : x
  2. Step 2: Convert to fraction form
    428,073.61/922,372.31 = 922,372.31/x
  3. Step 3: Cross multiply
    428,073.61x = 922,372.31 × 922,372.31
  4. Step 4: Simplify right side
    428,073.61x = 850,770,682,866.60
  5. Step 5: Solve for x
    x = 850,770,682,866.60/428,073.61
  6. Step 6: Final answer
    x = 1,987,440.16

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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.