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Finding the Third Proportional to 280,202 and 419,313

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Solution

The third proportional to 280,202 and 419,313 is: 627,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,202 : 419,313 = 419,313 : x
  2. Step 2: Convert to fraction form
    280,202/419,313 = 419,313/x
  3. Step 3: Cross multiply
    280,202x = 419,313 × 419,313
  4. Step 4: Simplify right side
    280,202x = 175,823,391,969
  5. Step 5: Solve for x
    x = 175,823,391,969/280,202
  6. Step 6: Final answer
    x = 627,488.00

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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.