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Finding the Third Proportional to 201,395 and 282,315

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Solution

The third proportional to 201,395 and 282,315 is: 395,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,395 : 282,315 = 282,315 : x
  2. Step 2: Convert to fraction form
    201,395/282,315 = 282,315/x
  3. Step 3: Cross multiply
    201,395x = 282,315 × 282,315
  4. Step 4: Simplify right side
    201,395x = 79,701,759,225
  5. Step 5: Solve for x
    x = 79,701,759,225/201,395
  6. Step 6: Final answer
    x = 395,748.45

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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.