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Finding the Third Proportional to 543,213 and 811,161

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Solution

The third proportional to 543,213 and 811,161 is: 1,211,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,213 : 811,161 = 811,161 : x
  2. Step 2: Convert to fraction form
    543,213/811,161 = 811,161/x
  3. Step 3: Cross multiply
    543,213x = 811,161 × 811,161
  4. Step 4: Simplify right side
    543,213x = 657,982,167,921
  5. Step 5: Solve for x
    x = 657,982,167,921/543,213
  6. Step 6: Final answer
    x = 1,211,278.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.