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Finding the Third Proportional to 259,314 and 379,035

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Solution

The third proportional to 259,314 and 379,035 is: 554,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,314 : 379,035 = 379,035 : x
  2. Step 2: Convert to fraction form
    259,314/379,035 = 379,035/x
  3. Step 3: Cross multiply
    259,314x = 379,035 × 379,035
  4. Step 4: Simplify right side
    259,314x = 143,667,531,225
  5. Step 5: Solve for x
    x = 143,667,531,225/259,314
  6. Step 6: Final answer
    x = 554,029.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.