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Finding the Third Proportional to 278,994 and 358,227

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Solution

The third proportional to 278,994 and 358,227 is: 459,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,994 : 358,227 = 358,227 : x
  2. Step 2: Convert to fraction form
    278,994/358,227 = 358,227/x
  3. Step 3: Cross multiply
    278,994x = 358,227 × 358,227
  4. Step 4: Simplify right side
    278,994x = 128,326,583,529
  5. Step 5: Solve for x
    x = 128,326,583,529/278,994
  6. Step 6: Final answer
    x = 459,961.80

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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.