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Finding the Third Proportional to 131,350 and 208,021

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Solution

The third proportional to 131,350 and 208,021 is: 329,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,350 : 208,021 = 208,021 : x
  2. Step 2: Convert to fraction form
    131,350/208,021 = 208,021/x
  3. Step 3: Cross multiply
    131,350x = 208,021 × 208,021
  4. Step 4: Simplify right side
    131,350x = 43,272,736,441
  5. Step 5: Solve for x
    x = 43,272,736,441/131,350
  6. Step 6: Final answer
    x = 329,446.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.