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Finding the Third Proportional to 216,992 and 328,549

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Solution

The third proportional to 216,992 and 328,549 is: 497,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,992 : 328,549 = 328,549 : x
  2. Step 2: Convert to fraction form
    216,992/328,549 = 328,549/x
  3. Step 3: Cross multiply
    216,992x = 328,549 × 328,549
  4. Step 4: Simplify right side
    216,992x = 107,944,445,401
  5. Step 5: Solve for x
    x = 107,944,445,401/216,992
  6. Step 6: Final answer
    x = 497,458.18

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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.