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Finding the Third Proportional to 210,543 and 323,622

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Solution

The third proportional to 210,543 and 323,622 is: 497,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,543 : 323,622 = 323,622 : x
  2. Step 2: Convert to fraction form
    210,543/323,622 = 323,622/x
  3. Step 3: Cross multiply
    210,543x = 323,622 × 323,622
  4. Step 4: Simplify right side
    210,543x = 104,731,198,884
  5. Step 5: Solve for x
    x = 104,731,198,884/210,543
  6. Step 6: Final answer
    x = 497,433.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.