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Finding the Third Proportional to 131,234 and 208,371

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Solution

The third proportional to 131,234 and 208,371 is: 330,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,234 : 208,371 = 208,371 : x
  2. Step 2: Convert to fraction form
    131,234/208,371 = 208,371/x
  3. Step 3: Cross multiply
    131,234x = 208,371 × 208,371
  4. Step 4: Simplify right side
    131,234x = 43,418,473,641
  5. Step 5: Solve for x
    x = 43,418,473,641/131,234
  6. Step 6: Final answer
    x = 330,847.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.