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Finding the Third Proportional to 261,997 and 395,486

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Solution

The third proportional to 261,997 and 395,486 is: 596,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,997 : 395,486 = 395,486 : x
  2. Step 2: Convert to fraction form
    261,997/395,486 = 395,486/x
  3. Step 3: Cross multiply
    261,997x = 395,486 × 395,486
  4. Step 4: Simplify right side
    261,997x = 156,409,176,196
  5. Step 5: Solve for x
    x = 156,409,176,196/261,997
  6. Step 6: Final answer
    x = 596,988.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.