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Finding the Third Proportional to 43,420 and 57,758

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Solution

The third proportional to 43,420 and 57,758 is: 76,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,420 : 57,758 = 57,758 : x
  2. Step 2: Convert to fraction form
    43,420/57,758 = 57,758/x
  3. Step 3: Cross multiply
    43,420x = 57,758 × 57,758
  4. Step 4: Simplify right side
    43,420x = 3,335,986,564
  5. Step 5: Solve for x
    x = 3,335,986,564/43,420
  6. Step 6: Final answer
    x = 76,830.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.