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Finding the Third Proportional to 408,467 and 610,240

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Solution

The third proportional to 408,467 and 610,240 is: 911,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,467 : 610,240 = 610,240 : x
  2. Step 2: Convert to fraction form
    408,467/610,240 = 610,240/x
  3. Step 3: Cross multiply
    408,467x = 610,240 × 610,240
  4. Step 4: Simplify right side
    408,467x = 372,392,857,600
  5. Step 5: Solve for x
    x = 372,392,857,600/408,467
  6. Step 6: Final answer
    x = 911,684.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.