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Finding the Third Proportional to 73,533 and 103,548

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Solution

The third proportional to 73,533 and 103,548 is: 145,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,533 : 103,548 = 103,548 : x
  2. Step 2: Convert to fraction form
    73,533/103,548 = 103,548/x
  3. Step 3: Cross multiply
    73,533x = 103,548 × 103,548
  4. Step 4: Simplify right side
    73,533x = 10,722,188,304
  5. Step 5: Solve for x
    x = 10,722,188,304/73,533
  6. Step 6: Final answer
    x = 145,814.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.