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Finding the Third Proportional to 428,338.50 and 642,589.50

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Solution

The third proportional to 428,338.50 and 642,589.50 is: 964,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,338.50 : 642,589.50 = 642,589.50 : x
  2. Step 2: Convert to fraction form
    428,338.50/642,589.50 = 642,589.50/x
  3. Step 3: Cross multiply
    428,338.50x = 642,589.50 × 642,589.50
  4. Step 4: Simplify right side
    428,338.50x = 412,921,265,510.25
  5. Step 5: Solve for x
    x = 412,921,265,510.25/428,338.50
  6. Step 6: Final answer
    x = 964,006.89

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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.