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Finding the Third Proportional to 408,782.25 and 585,146.25

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Solution

The third proportional to 408,782.25 and 585,146.25 is: 837,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,782.25 : 585,146.25 = 585,146.25 : x
  2. Step 2: Convert to fraction form
    408,782.25/585,146.25 = 585,146.25/x
  3. Step 3: Cross multiply
    408,782.25x = 585,146.25 × 585,146.25
  4. Step 4: Simplify right side
    408,782.25x = 342,396,133,889.06
  5. Step 5: Solve for x
    x = 342,396,133,889.06/408,782.25
  6. Step 6: Final answer
    x = 837,600.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.