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Finding the Third Proportional to 271,629 and 354,915

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Solution

The third proportional to 271,629 and 354,915 is: 463,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,629 : 354,915 = 354,915 : x
  2. Step 2: Convert to fraction form
    271,629/354,915 = 354,915/x
  3. Step 3: Cross multiply
    271,629x = 354,915 × 354,915
  4. Step 4: Simplify right side
    271,629x = 125,964,657,225
  5. Step 5: Solve for x
    x = 125,964,657,225/271,629
  6. Step 6: Final answer
    x = 463,737.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.