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Finding the Third Proportional to 313,880 and 403,012

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Solution

The third proportional to 313,880 and 403,012 is: 517,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,880 : 403,012 = 403,012 : x
  2. Step 2: Convert to fraction form
    313,880/403,012 = 403,012/x
  3. Step 3: Cross multiply
    313,880x = 403,012 × 403,012
  4. Step 4: Simplify right side
    313,880x = 162,418,672,144
  5. Step 5: Solve for x
    x = 162,418,672,144/313,880
  6. Step 6: Final answer
    x = 517,454.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.