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Finding the Third Proportional to 280,029 and 614,493

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Solution

The third proportional to 280,029 and 614,493 is: 1,348,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,029 : 614,493 = 614,493 : x
  2. Step 2: Convert to fraction form
    280,029/614,493 = 614,493/x
  3. Step 3: Cross multiply
    280,029x = 614,493 × 614,493
  4. Step 4: Simplify right side
    280,029x = 377,601,647,049
  5. Step 5: Solve for x
    x = 377,601,647,049/280,029
  6. Step 6: Final answer
    x = 1,348,437.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.