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Finding the Third Proportional to 283,205 and 395,965

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Solution

The third proportional to 283,205 and 395,965 is: 553,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,205 : 395,965 = 395,965 : x
  2. Step 2: Convert to fraction form
    283,205/395,965 = 395,965/x
  3. Step 3: Cross multiply
    283,205x = 395,965 × 395,965
  4. Step 4: Simplify right side
    283,205x = 156,788,281,225
  5. Step 5: Solve for x
    x = 156,788,281,225/283,205
  6. Step 6: Final answer
    x = 553,621.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.