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Finding the Third Proportional to 201,880 and 313,480

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Solution

The third proportional to 201,880 and 313,480 is: 486,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880 : 313,480 = 313,480 : x
  2. Step 2: Convert to fraction form
    201,880/313,480 = 313,480/x
  3. Step 3: Cross multiply
    201,880x = 313,480 × 313,480
  4. Step 4: Simplify right side
    201,880x = 98,269,710,400
  5. Step 5: Solve for x
    x = 98,269,710,400/201,880
  6. Step 6: Final answer
    x = 486,772.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.