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Finding the Third Proportional to 428,030 and 911,356

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Solution

The third proportional to 428,030 and 911,356 is: 1,940,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,030 : 911,356 = 911,356 : x
  2. Step 2: Convert to fraction form
    428,030/911,356 = 911,356/x
  3. Step 3: Cross multiply
    428,030x = 911,356 × 911,356
  4. Step 4: Simplify right side
    428,030x = 830,569,758,736
  5. Step 5: Solve for x
    x = 830,569,758,736/428,030
  6. Step 6: Final answer
    x = 1,940,447.54

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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.