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Finding the Third Proportional to 210,644 and 323,005

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Solution

The third proportional to 210,644 and 323,005 is: 495,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,644 : 323,005 = 323,005 : x
  2. Step 2: Convert to fraction form
    210,644/323,005 = 323,005/x
  3. Step 3: Cross multiply
    210,644x = 323,005 × 323,005
  4. Step 4: Simplify right side
    210,644x = 104,332,230,025
  5. Step 5: Solve for x
    x = 104,332,230,025/210,644
  6. Step 6: Final answer
    x = 495,301.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.