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Finding the Third Proportional to 280,356 and 419,370

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Solution

The third proportional to 280,356 and 419,370 is: 627,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,356 : 419,370 = 419,370 : x
  2. Step 2: Convert to fraction form
    280,356/419,370 = 419,370/x
  3. Step 3: Cross multiply
    280,356x = 419,370 × 419,370
  4. Step 4: Simplify right side
    280,356x = 175,871,196,900
  5. Step 5: Solve for x
    x = 175,871,196,900/280,356
  6. Step 6: Final answer
    x = 627,313.83

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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.