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Finding the Third Proportional to 254,208 and 543,312

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Solution

The third proportional to 254,208 and 543,312 is: 1,161,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,208 : 543,312 = 543,312 : x
  2. Step 2: Convert to fraction form
    254,208/543,312 = 543,312/x
  3. Step 3: Cross multiply
    254,208x = 543,312 × 543,312
  4. Step 4: Simplify right side
    254,208x = 295,187,929,344
  5. Step 5: Solve for x
    x = 295,187,929,344/254,208
  6. Step 6: Final answer
    x = 1,161,206.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.