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Finding the Third Proportional to 275,904 and 427,369.50

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Solution

The third proportional to 275,904 and 427,369.50 is: 661,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,904 : 427,369.50 = 427,369.50 : x
  2. Step 2: Convert to fraction form
    275,904/427,369.50 = 427,369.50/x
  3. Step 3: Cross multiply
    275,904x = 427,369.50 × 427,369.50
  4. Step 4: Simplify right side
    275,904x = 182,644,689,530.25
  5. Step 5: Solve for x
    x = 182,644,689,530.25/275,904
  6. Step 6: Final answer
    x = 661,986.38

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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.