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Finding the Third Proportional to 201,421 and 282,353

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Solution

The third proportional to 201,421 and 282,353 is: 395,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,421 : 282,353 = 282,353 : x
  2. Step 2: Convert to fraction form
    201,421/282,353 = 282,353/x
  3. Step 3: Cross multiply
    201,421x = 282,353 × 282,353
  4. Step 4: Simplify right side
    201,421x = 79,723,216,609
  5. Step 5: Solve for x
    x = 79,723,216,609/201,421
  6. Step 6: Final answer
    x = 395,803.90

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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.