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Finding the Third Proportional to 395,525 and 628,856

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Solution

The third proportional to 395,525 and 628,856 is: 999,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,525 : 628,856 = 628,856 : x
  2. Step 2: Convert to fraction form
    395,525/628,856 = 628,856/x
  3. Step 3: Cross multiply
    395,525x = 628,856 × 628,856
  4. Step 4: Simplify right side
    395,525x = 395,459,868,736
  5. Step 5: Solve for x
    x = 395,459,868,736/395,525
  6. Step 6: Final answer
    x = 999,835.33

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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.