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Finding the Third Proportional to 313,308 and 477,318

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Solution

The third proportional to 313,308 and 477,318 is: 727,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,308 : 477,318 = 477,318 : x
  2. Step 2: Convert to fraction form
    313,308/477,318 = 477,318/x
  3. Step 3: Cross multiply
    313,308x = 477,318 × 477,318
  4. Step 4: Simplify right side
    313,308x = 227,832,473,124
  5. Step 5: Solve for x
    x = 227,832,473,124/313,308
  6. Step 6: Final answer
    x = 727,183.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.