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Finding the Third Proportional to 308,568.94 and 409,438.13

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Solution

The third proportional to 308,568.94 and 409,438.13 is: 543,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,568.94 : 409,438.13 = 409,438.13 : x
  2. Step 2: Convert to fraction form
    308,568.94/409,438.13 = 409,438.13/x
  3. Step 3: Cross multiply
    308,568.94x = 409,438.13 × 409,438.13
  4. Step 4: Simplify right side
    308,568.94x = 167,639,578,203.52
  5. Step 5: Solve for x
    x = 167,639,578,203.52/308,568.94
  6. Step 6: Final answer
    x = 543,280.80

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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.