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Finding the Third Proportional to 135,738 and 292,288

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Solution

The third proportional to 135,738 and 292,288 is: 629,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,738 : 292,288 = 292,288 : x
  2. Step 2: Convert to fraction form
    135,738/292,288 = 292,288/x
  3. Step 3: Cross multiply
    135,738x = 292,288 × 292,288
  4. Step 4: Simplify right side
    135,738x = 85,432,274,944
  5. Step 5: Solve for x
    x = 85,432,274,944/135,738
  6. Step 6: Final answer
    x = 629,391.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.