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Finding the Third Proportional to 408,523.50 and 649,890

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Solution

The third proportional to 408,523.50 and 649,890 is: 1,033,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,523.50 : 649,890 = 649,890 : x
  2. Step 2: Convert to fraction form
    408,523.50/649,890 = 649,890/x
  3. Step 3: Cross multiply
    408,523.50x = 649,890 × 649,890
  4. Step 4: Simplify right side
    408,523.50x = 422,357,012,100
  5. Step 5: Solve for x
    x = 422,357,012,100/408,523.50
  6. Step 6: Final answer
    x = 1,033,862.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.