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Finding the Third Proportional to 131,209 and 208,881

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Solution

The third proportional to 131,209 and 208,881 is: 332,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,209 : 208,881 = 208,881 : x
  2. Step 2: Convert to fraction form
    131,209/208,881 = 208,881/x
  3. Step 3: Cross multiply
    131,209x = 208,881 × 208,881
  4. Step 4: Simplify right side
    131,209x = 43,631,272,161
  5. Step 5: Solve for x
    x = 43,631,272,161/131,209
  6. Step 6: Final answer
    x = 332,532.62

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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.