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Finding the Third Proportional to 131,306.25 and 208,440.75

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Solution

The third proportional to 131,306.25 and 208,440.75 is: 330,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,306.25 : 208,440.75 = 208,440.75 : x
  2. Step 2: Convert to fraction form
    131,306.25/208,440.75 = 208,440.75/x
  3. Step 3: Cross multiply
    131,306.25x = 208,440.75 × 208,440.75
  4. Step 4: Simplify right side
    131,306.25x = 43,447,546,260.56
  5. Step 5: Solve for x
    x = 43,447,546,260.56/131,306.25
  6. Step 6: Final answer
    x = 330,887.12

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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.