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Finding the Third Proportional to 263,985.75 and 378,297

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Solution

The third proportional to 263,985.75 and 378,297 is: 542,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,985.75 : 378,297 = 378,297 : x
  2. Step 2: Convert to fraction form
    263,985.75/378,297 = 378,297/x
  3. Step 3: Cross multiply
    263,985.75x = 378,297 × 378,297
  4. Step 4: Simplify right side
    263,985.75x = 143,108,620,209
  5. Step 5: Solve for x
    x = 143,108,620,209/263,985.75
  6. Step 6: Final answer
    x = 542,107.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.