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Finding the Third Proportional to 30,375 and 64,050.75

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Solution

The third proportional to 30,375 and 64,050.75 is: 135,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375 : 64,050.75 = 64,050.75 : x
  2. Step 2: Convert to fraction form
    30,375/64,050.75 = 64,050.75/x
  3. Step 3: Cross multiply
    30,375x = 64,050.75 × 64,050.75
  4. Step 4: Simplify right side
    30,375x = 4,102,498,575.56
  5. Step 5: Solve for x
    x = 4,102,498,575.56/30,375
  6. Step 6: Final answer
    x = 135,061.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.