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Finding the Third Proportional to 73,052 and 111,540

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Solution

The third proportional to 73,052 and 111,540 is: 170,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,052 : 111,540 = 111,540 : x
  2. Step 2: Convert to fraction form
    73,052/111,540 = 111,540/x
  3. Step 3: Cross multiply
    73,052x = 111,540 × 111,540
  4. Step 4: Simplify right side
    73,052x = 12,441,171,600
  5. Step 5: Solve for x
    x = 12,441,171,600/73,052
  6. Step 6: Final answer
    x = 170,305.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.