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Finding the Third Proportional to 286,322 and 378,579

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Solution

The third proportional to 286,322 and 378,579 is: 500,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,322 : 378,579 = 378,579 : x
  2. Step 2: Convert to fraction form
    286,322/378,579 = 378,579/x
  3. Step 3: Cross multiply
    286,322x = 378,579 × 378,579
  4. Step 4: Simplify right side
    286,322x = 143,322,059,241
  5. Step 5: Solve for x
    x = 143,322,059,241/286,322
  6. Step 6: Final answer
    x = 500,562.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.