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Finding the Third Proportional to 263,936 and 409,312

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Solution

The third proportional to 263,936 and 409,312 is: 634,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,936 : 409,312 = 409,312 : x
  2. Step 2: Convert to fraction form
    263,936/409,312 = 409,312/x
  3. Step 3: Cross multiply
    263,936x = 409,312 × 409,312
  4. Step 4: Simplify right side
    263,936x = 167,536,313,344
  5. Step 5: Solve for x
    x = 167,536,313,344/263,936
  6. Step 6: Final answer
    x = 634,761.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.