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Finding the Third Proportional to 280,288 and 420,021

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Solution

The third proportional to 280,288 and 420,021 is: 629,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,288 : 420,021 = 420,021 : x
  2. Step 2: Convert to fraction form
    280,288/420,021 = 420,021/x
  3. Step 3: Cross multiply
    280,288x = 420,021 × 420,021
  4. Step 4: Simplify right side
    280,288x = 176,417,640,441
  5. Step 5: Solve for x
    x = 176,417,640,441/280,288
  6. Step 6: Final answer
    x = 629,415.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.