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Finding the Third Proportional to 201,408 and 282,337

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Solution

The third proportional to 201,408 and 282,337 is: 395,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408 : 282,337 = 282,337 : x
  2. Step 2: Convert to fraction form
    201,408/282,337 = 282,337/x
  3. Step 3: Cross multiply
    201,408x = 282,337 × 282,337
  4. Step 4: Simplify right side
    201,408x = 79,714,181,569
  5. Step 5: Solve for x
    x = 79,714,181,569/201,408
  6. Step 6: Final answer
    x = 395,784.58

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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.