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Finding the Third Proportional to 398,054.25 and 585,336.38

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Solution

The third proportional to 398,054.25 and 585,336.38 is: 860,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,054.25 : 585,336.38 = 585,336.38 : x
  2. Step 2: Convert to fraction form
    398,054.25/585,336.38 = 585,336.38/x
  3. Step 3: Cross multiply
    398,054.25x = 585,336.38 × 585,336.38
  4. Step 4: Simplify right side
    398,054.25x = 342,618,671,898.14
  5. Step 5: Solve for x
    x = 342,618,671,898.14/398,054.25
  6. Step 6: Final answer
    x = 860,733.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.