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Finding the Third Proportional to 409,230 and 888,435

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Solution

The third proportional to 409,230 and 888,435 is: 1,928,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,230 : 888,435 = 888,435 : x
  2. Step 2: Convert to fraction form
    409,230/888,435 = 888,435/x
  3. Step 3: Cross multiply
    409,230x = 888,435 × 888,435
  4. Step 4: Simplify right side
    409,230x = 789,316,749,225
  5. Step 5: Solve for x
    x = 789,316,749,225/409,230
  6. Step 6: Final answer
    x = 1,928,785.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.