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Finding the Third Proportional to 201,420 and 282,354

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Solution

The third proportional to 201,420 and 282,354 is: 395,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420 : 282,354 = 282,354 : x
  2. Step 2: Convert to fraction form
    201,420/282,354 = 282,354/x
  3. Step 3: Cross multiply
    201,420x = 282,354 × 282,354
  4. Step 4: Simplify right side
    201,420x = 79,723,781,316
  5. Step 5: Solve for x
    x = 79,723,781,316/201,420
  6. Step 6: Final answer
    x = 395,808.67

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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.