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Finding the Third Proportional to 216,996 and 328,555

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Solution

The third proportional to 216,996 and 328,555 is: 497,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,996 : 328,555 = 328,555 : x
  2. Step 2: Convert to fraction form
    216,996/328,555 = 328,555/x
  3. Step 3: Cross multiply
    216,996x = 328,555 × 328,555
  4. Step 4: Simplify right side
    216,996x = 107,948,388,025
  5. Step 5: Solve for x
    x = 107,948,388,025/216,996
  6. Step 6: Final answer
    x = 497,467.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.