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Finding the Third Proportional to 428,335.31 and 642,584.25

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Solution

The third proportional to 428,335.31 and 642,584.25 is: 963,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,335.31 : 642,584.25 = 642,584.25 : x
  2. Step 2: Convert to fraction form
    428,335.31/642,584.25 = 642,584.25/x
  3. Step 3: Cross multiply
    428,335.31x = 642,584.25 × 642,584.25
  4. Step 4: Simplify right side
    428,335.31x = 412,914,518,348.06
  5. Step 5: Solve for x
    x = 412,914,518,348.06/428,335.31
  6. Step 6: Final answer
    x = 963,998.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.