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Finding the Third Proportional to 131,206.50 and 208,875

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Solution

The third proportional to 131,206.50 and 208,875 is: 332,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,206.50 : 208,875 = 208,875 : x
  2. Step 2: Convert to fraction form
    131,206.50/208,875 = 208,875/x
  3. Step 3: Cross multiply
    131,206.50x = 208,875 × 208,875
  4. Step 4: Simplify right side
    131,206.50x = 43,628,765,625
  5. Step 5: Solve for x
    x = 43,628,765,625/131,206.50
  6. Step 6: Final answer
    x = 332,519.85

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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.