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Finding the Third Proportional to 278,116 and 598,878

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Solution

The third proportional to 278,116 and 598,878 is: 1,289,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,116 : 598,878 = 598,878 : x
  2. Step 2: Convert to fraction form
    278,116/598,878 = 598,878/x
  3. Step 3: Cross multiply
    278,116x = 598,878 × 598,878
  4. Step 4: Simplify right side
    278,116x = 358,654,858,884
  5. Step 5: Solve for x
    x = 358,654,858,884/278,116
  6. Step 6: Final answer
    x = 1,289,587.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.