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Finding the Third Proportional to 161,434 and 318,728

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Solution

The third proportional to 161,434 and 318,728 is: 629,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,434 : 318,728 = 318,728 : x
  2. Step 2: Convert to fraction form
    161,434/318,728 = 318,728/x
  3. Step 3: Cross multiply
    161,434x = 318,728 × 318,728
  4. Step 4: Simplify right side
    161,434x = 101,587,537,984
  5. Step 5: Solve for x
    x = 101,587,537,984/161,434
  6. Step 6: Final answer
    x = 629,282.17

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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.