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Finding the Third Proportional to 75,432 and 103,907

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Solution

The third proportional to 75,432 and 103,907 is: 143,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,432 : 103,907 = 103,907 : x
  2. Step 2: Convert to fraction form
    75,432/103,907 = 103,907/x
  3. Step 3: Cross multiply
    75,432x = 103,907 × 103,907
  4. Step 4: Simplify right side
    75,432x = 10,796,664,649
  5. Step 5: Solve for x
    x = 10,796,664,649/75,432
  6. Step 6: Final answer
    x = 143,131.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.