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Finding the Third Proportional to 278,980 and 358,204

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Solution

The third proportional to 278,980 and 358,204 is: 459,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,980 : 358,204 = 358,204 : x
  2. Step 2: Convert to fraction form
    278,980/358,204 = 358,204/x
  3. Step 3: Cross multiply
    278,980x = 358,204 × 358,204
  4. Step 4: Simplify right side
    278,980x = 128,310,105,616
  5. Step 5: Solve for x
    x = 128,310,105,616/278,980
  6. Step 6: Final answer
    x = 459,925.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.