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Finding the Third Proportional to 336,872 and 409,043

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Solution

The third proportional to 336,872 and 409,043 is: 496,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,872 : 409,043 = 409,043 : x
  2. Step 2: Convert to fraction form
    336,872/409,043 = 409,043/x
  3. Step 3: Cross multiply
    336,872x = 409,043 × 409,043
  4. Step 4: Simplify right side
    336,872x = 167,316,175,849
  5. Step 5: Solve for x
    x = 167,316,175,849/336,872
  6. Step 6: Final answer
    x = 496,675.82

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.