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Finding the Third Proportional to 543,142 and 821,704

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Solution

The third proportional to 543,142 and 821,704 is: 1,243,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,142 : 821,704 = 821,704 : x
  2. Step 2: Convert to fraction form
    543,142/821,704 = 821,704/x
  3. Step 3: Cross multiply
    543,142x = 821,704 × 821,704
  4. Step 4: Simplify right side
    543,142x = 675,197,463,616
  5. Step 5: Solve for x
    x = 675,197,463,616/543,142
  6. Step 6: Final answer
    x = 1,243,132.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.