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Finding the Third Proportional to 408,240 and 633,672

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Solution

The third proportional to 408,240 and 633,672 is: 983,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,240 : 633,672 = 633,672 : x
  2. Step 2: Convert to fraction form
    408,240/633,672 = 633,672/x
  3. Step 3: Cross multiply
    408,240x = 633,672 × 633,672
  4. Step 4: Simplify right side
    408,240x = 401,540,203,584
  5. Step 5: Solve for x
    x = 401,540,203,584/408,240
  6. Step 6: Final answer
    x = 983,588.58

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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.