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Finding the Third Proportional to 155,738 and 339,316

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Solution

The third proportional to 155,738 and 339,316 is: 739,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,738 : 339,316 = 339,316 : x
  2. Step 2: Convert to fraction form
    155,738/339,316 = 339,316/x
  3. Step 3: Cross multiply
    155,738x = 339,316 × 339,316
  4. Step 4: Simplify right side
    155,738x = 115,135,347,856
  5. Step 5: Solve for x
    x = 115,135,347,856/155,738
  6. Step 6: Final answer
    x = 739,288.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.