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Finding the Third Proportional to 43,028 and 68,540

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Solution

The third proportional to 43,028 and 68,540 is: 109,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,028 : 68,540 = 68,540 : x
  2. Step 2: Convert to fraction form
    43,028/68,540 = 68,540/x
  3. Step 3: Cross multiply
    43,028x = 68,540 × 68,540
  4. Step 4: Simplify right side
    43,028x = 4,697,731,600
  5. Step 5: Solve for x
    x = 4,697,731,600/43,028
  6. Step 6: Final answer
    x = 109,178.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.