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Finding the Third Proportional to 216,996 and 328,552

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Solution

The third proportional to 216,996 and 328,552 is: 497,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,996 : 328,552 = 328,552 : x
  2. Step 2: Convert to fraction form
    216,996/328,552 = 328,552/x
  3. Step 3: Cross multiply
    216,996x = 328,552 × 328,552
  4. Step 4: Simplify right side
    216,996x = 107,946,416,704
  5. Step 5: Solve for x
    x = 107,946,416,704/216,996
  6. Step 6: Final answer
    x = 497,458.09

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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.