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Finding the Third Proportional to 161,429 and 318,715

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Solution

The third proportional to 161,429 and 318,715 is: 629,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,429 : 318,715 = 318,715 : x
  2. Step 2: Convert to fraction form
    161,429/318,715 = 318,715/x
  3. Step 3: Cross multiply
    161,429x = 318,715 × 318,715
  4. Step 4: Simplify right side
    161,429x = 101,579,251,225
  5. Step 5: Solve for x
    x = 101,579,251,225/161,429
  6. Step 6: Final answer
    x = 629,250.33

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.