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Finding the Third Proportional to 280,134 and 614,684

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Solution

The third proportional to 280,134 and 614,684 is: 1,348,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,134 : 614,684 = 614,684 : x
  2. Step 2: Convert to fraction form
    280,134/614,684 = 614,684/x
  3. Step 3: Cross multiply
    280,134x = 614,684 × 614,684
  4. Step 4: Simplify right side
    280,134x = 377,836,419,856
  5. Step 5: Solve for x
    x = 377,836,419,856/280,134
  6. Step 6: Final answer
    x = 1,348,770.30

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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.