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Finding the Third Proportional to 343,067 and 530,155

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Solution

The third proportional to 343,067 and 530,155 is: 819,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,067 : 530,155 = 530,155 : x
  2. Step 2: Convert to fraction form
    343,067/530,155 = 530,155/x
  3. Step 3: Cross multiply
    343,067x = 530,155 × 530,155
  4. Step 4: Simplify right side
    343,067x = 281,064,324,025
  5. Step 5: Solve for x
    x = 281,064,324,025/343,067
  6. Step 6: Final answer
    x = 819,269.48

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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.