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Finding the Third Proportional to 273,902 and 434,612

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Solution

The third proportional to 273,902 and 434,612 is: 689,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,902 : 434,612 = 434,612 : x
  2. Step 2: Convert to fraction form
    273,902/434,612 = 434,612/x
  3. Step 3: Cross multiply
    273,902x = 434,612 × 434,612
  4. Step 4: Simplify right side
    273,902x = 188,887,590,544
  5. Step 5: Solve for x
    x = 188,887,590,544/273,902
  6. Step 6: Final answer
    x = 689,617.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.