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Finding the Third Proportional to 485,530 and 735,042

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Solution

The third proportional to 485,530 and 735,042 is: 1,112,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,530 : 735,042 = 735,042 : x
  2. Step 2: Convert to fraction form
    485,530/735,042 = 735,042/x
  3. Step 3: Cross multiply
    485,530x = 735,042 × 735,042
  4. Step 4: Simplify right side
    485,530x = 540,286,741,764
  5. Step 5: Solve for x
    x = 540,286,741,764/485,530
  6. Step 6: Final answer
    x = 1,112,777.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.