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Finding the Third Proportional to 30,530 and 43,555

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Solution

The third proportional to 30,530 and 43,555 is: 62,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530 : 43,555 = 43,555 : x
  2. Step 2: Convert to fraction form
    30,530/43,555 = 43,555/x
  3. Step 3: Cross multiply
    30,530x = 43,555 × 43,555
  4. Step 4: Simplify right side
    30,530x = 1,897,038,025
  5. Step 5: Solve for x
    x = 1,897,038,025/30,530
  6. Step 6: Final answer
    x = 62,136.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.