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Finding the Third Proportional to 212,954 and 329,691

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Solution

The third proportional to 212,954 and 329,691 is: 510,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954 : 329,691 = 329,691 : x
  2. Step 2: Convert to fraction form
    212,954/329,691 = 329,691/x
  3. Step 3: Cross multiply
    212,954x = 329,691 × 329,691
  4. Step 4: Simplify right side
    212,954x = 108,696,155,481
  5. Step 5: Solve for x
    x = 108,696,155,481/212,954
  6. Step 6: Final answer
    x = 510,420.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.