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Finding the Third Proportional to 40,530 and 63,255

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Solution

The third proportional to 40,530 and 63,255 is: 98,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,530 : 63,255 = 63,255 : x
  2. Step 2: Convert to fraction form
    40,530/63,255 = 63,255/x
  3. Step 3: Cross multiply
    40,530x = 63,255 × 63,255
  4. Step 4: Simplify right side
    40,530x = 4,001,195,025
  5. Step 5: Solve for x
    x = 4,001,195,025/40,530
  6. Step 6: Final answer
    x = 98,721.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.