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Finding the Third Proportional to 300,900.45 and 409,823.30

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Solution

The third proportional to 300,900.45 and 409,823.30 is: 558,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,900.45 : 409,823.30 = 409,823.30 : x
  2. Step 2: Convert to fraction form
    300,900.45/409,823.30 = 409,823.30/x
  3. Step 3: Cross multiply
    300,900.45x = 409,823.30 × 409,823.30
  4. Step 4: Simplify right side
    300,900.45x = 167,955,134,661.49
  5. Step 5: Solve for x
    x = 167,955,134,661.49/300,900.45
  6. Step 6: Final answer
    x = 558,175.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.