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Finding the Third Proportional to 271,677 and 399,190.50

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Solution

The third proportional to 271,677 and 399,190.50 is: 586,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,677 : 399,190.50 = 399,190.50 : x
  2. Step 2: Convert to fraction form
    271,677/399,190.50 = 399,190.50/x
  3. Step 3: Cross multiply
    271,677x = 399,190.50 × 399,190.50
  4. Step 4: Simplify right side
    271,677x = 159,353,055,290.25
  5. Step 5: Solve for x
    x = 159,353,055,290.25/271,677
  6. Step 6: Final answer
    x = 586,553.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.