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Finding the Third Proportional to 210,645 and 323,006

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Solution

The third proportional to 210,645 and 323,006 is: 495,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,645 : 323,006 = 323,006 : x
  2. Step 2: Convert to fraction form
    210,645/323,006 = 323,006/x
  3. Step 3: Cross multiply
    210,645x = 323,006 × 323,006
  4. Step 4: Simplify right side
    210,645x = 104,332,876,036
  5. Step 5: Solve for x
    x = 104,332,876,036/210,645
  6. Step 6: Final answer
    x = 495,301.93

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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.