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Finding the Third Proportional to 213,938 and 329,655

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Solution

The third proportional to 213,938 and 329,655 is: 507,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,938 : 329,655 = 329,655 : x
  2. Step 2: Convert to fraction form
    213,938/329,655 = 329,655/x
  3. Step 3: Cross multiply
    213,938x = 329,655 × 329,655
  4. Step 4: Simplify right side
    213,938x = 108,672,419,025
  5. Step 5: Solve for x
    x = 108,672,419,025/213,938
  6. Step 6: Final answer
    x = 507,962.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.