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Finding the Third Proportional to 316,703 and 659,529

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Solution

The third proportional to 316,703 and 659,529 is: 1,373,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,703 : 659,529 = 659,529 : x
  2. Step 2: Convert to fraction form
    316,703/659,529 = 659,529/x
  3. Step 3: Cross multiply
    316,703x = 659,529 × 659,529
  4. Step 4: Simplify right side
    316,703x = 434,978,501,841
  5. Step 5: Solve for x
    x = 434,978,501,841/316,703
  6. Step 6: Final answer
    x = 1,373,458.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.