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Finding the Third Proportional to 75,030 and 105,525

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Solution

The third proportional to 75,030 and 105,525 is: 148,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,030 : 105,525 = 105,525 : x
  2. Step 2: Convert to fraction form
    75,030/105,525 = 105,525/x
  3. Step 3: Cross multiply
    75,030x = 105,525 × 105,525
  4. Step 4: Simplify right side
    75,030x = 11,135,525,625
  5. Step 5: Solve for x
    x = 11,135,525,625/75,030
  6. Step 6: Final answer
    x = 148,414.31

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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.