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Finding the Third Proportional to 278,844 and 376,226

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Solution

The third proportional to 278,844 and 376,226 is: 507,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,844 : 376,226 = 376,226 : x
  2. Step 2: Convert to fraction form
    278,844/376,226 = 376,226/x
  3. Step 3: Cross multiply
    278,844x = 376,226 × 376,226
  4. Step 4: Simplify right side
    278,844x = 141,546,003,076
  5. Step 5: Solve for x
    x = 141,546,003,076/278,844
  6. Step 6: Final answer
    x = 507,617.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.