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Finding the Third Proportional to 301,437 and 409,401

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Solution

The third proportional to 301,437 and 409,401 is: 556,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,437 : 409,401 = 409,401 : x
  2. Step 2: Convert to fraction form
    301,437/409,401 = 409,401/x
  3. Step 3: Cross multiply
    301,437x = 409,401 × 409,401
  4. Step 4: Simplify right side
    301,437x = 167,609,178,801
  5. Step 5: Solve for x
    x = 167,609,178,801/301,437
  6. Step 6: Final answer
    x = 556,033.86

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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.