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Finding the Third Proportional to 216,502 and 323,873

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Solution

The third proportional to 216,502 and 323,873 is: 484,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,502 : 323,873 = 323,873 : x
  2. Step 2: Convert to fraction form
    216,502/323,873 = 323,873/x
  3. Step 3: Cross multiply
    216,502x = 323,873 × 323,873
  4. Step 4: Simplify right side
    216,502x = 104,893,720,129
  5. Step 5: Solve for x
    x = 104,893,720,129/216,502
  6. Step 6: Final answer
    x = 484,493.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.