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Finding the Third Proportional to 301,393 and 409,330

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Solution

The third proportional to 301,393 and 409,330 is: 555,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,393 : 409,330 = 409,330 : x
  2. Step 2: Convert to fraction form
    301,393/409,330 = 409,330/x
  3. Step 3: Cross multiply
    301,393x = 409,330 × 409,330
  4. Step 4: Simplify right side
    301,393x = 167,551,048,900
  5. Step 5: Solve for x
    x = 167,551,048,900/301,393
  6. Step 6: Final answer
    x = 555,922.16

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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.