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Finding the Third Proportional to 75,354.75 and 105,357

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Solution

The third proportional to 75,354.75 and 105,357 is: 147,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,354.75 : 105,357 = 105,357 : x
  2. Step 2: Convert to fraction form
    75,354.75/105,357 = 105,357/x
  3. Step 3: Cross multiply
    75,354.75x = 105,357 × 105,357
  4. Step 4: Simplify right side
    75,354.75x = 11,100,097,449
  5. Step 5: Solve for x
    x = 11,100,097,449/75,354.75
  6. Step 6: Final answer
    x = 147,304.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.