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Finding the Third Proportional to 301,536 and 409,512

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Solution

The third proportional to 301,536 and 409,512 is: 556,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,536 : 409,512 = 409,512 : x
  2. Step 2: Convert to fraction form
    301,536/409,512 = 409,512/x
  3. Step 3: Cross multiply
    301,536x = 409,512 × 409,512
  4. Step 4: Simplify right side
    301,536x = 167,700,078,144
  5. Step 5: Solve for x
    x = 167,700,078,144/301,536
  6. Step 6: Final answer
    x = 556,152.76

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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.