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Finding the Third Proportional to 308,658.75 and 409,659.75

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Solution

The third proportional to 308,658.75 and 409,659.75 is: 543,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,658.75 : 409,659.75 = 409,659.75 : x
  2. Step 2: Convert to fraction form
    308,658.75/409,659.75 = 409,659.75/x
  3. Step 3: Cross multiply
    308,658.75x = 409,659.75 × 409,659.75
  4. Step 4: Simplify right side
    308,658.75x = 167,821,110,770.06
  5. Step 5: Solve for x
    x = 167,821,110,770.06/308,658.75
  6. Step 6: Final answer
    x = 543,710.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.