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Finding the Third Proportional to 398,603.25 and 850,421.25

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Solution

The third proportional to 398,603.25 and 850,421.25 is: 1,814,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,603.25 : 850,421.25 = 850,421.25 : x
  2. Step 2: Convert to fraction form
    398,603.25/850,421.25 = 850,421.25/x
  3. Step 3: Cross multiply
    398,603.25x = 850,421.25 × 850,421.25
  4. Step 4: Simplify right side
    398,603.25x = 723,216,302,451.56
  5. Step 5: Solve for x
    x = 723,216,302,451.56/398,603.25
  6. Step 6: Final answer
    x = 1,814,376.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.