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Finding the Third Proportional to 30,840.75 and 43,669.13

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Solution

The third proportional to 30,840.75 and 43,669.13 is: 61,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.75 : 43,669.13 = 43,669.13 : x
  2. Step 2: Convert to fraction form
    30,840.75/43,669.13 = 43,669.13/x
  3. Step 3: Cross multiply
    30,840.75x = 43,669.13 × 43,669.13
  4. Step 4: Simplify right side
    30,840.75x = 1,906,992,478.27
  5. Step 5: Solve for x
    x = 1,906,992,478.27/30,840.75
  6. Step 6: Final answer
    x = 61,833.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.