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Finding the Third Proportional to 213,004 and 343,156

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Solution

The third proportional to 213,004 and 343,156 is: 552,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,004 : 343,156 = 343,156 : x
  2. Step 2: Convert to fraction form
    213,004/343,156 = 343,156/x
  3. Step 3: Cross multiply
    213,004x = 343,156 × 343,156
  4. Step 4: Simplify right side
    213,004x = 117,756,040,336
  5. Step 5: Solve for x
    x = 117,756,040,336/213,004
  6. Step 6: Final answer
    x = 552,834.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.