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Finding the Third Proportional to 156,021 and 319,425

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Solution

The third proportional to 156,021 and 319,425 is: 653,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,021 : 319,425 = 319,425 : x
  2. Step 2: Convert to fraction form
    156,021/319,425 = 319,425/x
  3. Step 3: Cross multiply
    156,021x = 319,425 × 319,425
  4. Step 4: Simplify right side
    156,021x = 102,032,330,625
  5. Step 5: Solve for x
    x = 102,032,330,625/156,021
  6. Step 6: Final answer
    x = 653,965.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.