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Finding the Third Proportional to 278,469 and 670,617

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Solution

The third proportional to 278,469 and 670,617 is: 1,614,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,469 : 670,617 = 670,617 : x
  2. Step 2: Convert to fraction form
    278,469/670,617 = 670,617/x
  3. Step 3: Cross multiply
    278,469x = 670,617 × 670,617
  4. Step 4: Simplify right side
    278,469x = 449,727,160,689
  5. Step 5: Solve for x
    x = 449,727,160,689/278,469
  6. Step 6: Final answer
    x = 1,614,999.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.