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Finding the Third Proportional to 408,004.50 and 633,318.75

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Solution

The third proportional to 408,004.50 and 633,318.75 is: 983,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,004.50 : 633,318.75 = 633,318.75 : x
  2. Step 2: Convert to fraction form
    408,004.50/633,318.75 = 633,318.75/x
  3. Step 3: Cross multiply
    408,004.50x = 633,318.75 × 633,318.75
  4. Step 4: Simplify right side
    408,004.50x = 401,092,639,101.56
  5. Step 5: Solve for x
    x = 401,092,639,101.56/408,004.50
  6. Step 6: Final answer
    x = 983,059.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.