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Finding the Third Proportional to 201,388 and 282,308

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Solution

The third proportional to 201,388 and 282,308 is: 395,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,388 : 282,308 = 282,308 : x
  2. Step 2: Convert to fraction form
    201,388/282,308 = 282,308/x
  3. Step 3: Cross multiply
    201,388x = 282,308 × 282,308
  4. Step 4: Simplify right side
    201,388x = 79,697,806,864
  5. Step 5: Solve for x
    x = 79,697,806,864/201,388
  6. Step 6: Final answer
    x = 395,742.58

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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.