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Finding the Third Proportional to 204,738 and 313,590

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Solution

The third proportional to 204,738 and 313,590 is: 480,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,738 : 313,590 = 313,590 : x
  2. Step 2: Convert to fraction form
    204,738/313,590 = 313,590/x
  3. Step 3: Cross multiply
    204,738x = 313,590 × 313,590
  4. Step 4: Simplify right side
    204,738x = 98,338,688,100
  5. Step 5: Solve for x
    x = 98,338,688,100/204,738
  6. Step 6: Final answer
    x = 480,314.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.