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Finding the Third Proportional to 75,438 and 157,074.75

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Solution

The third proportional to 75,438 and 157,074.75 is: 327,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,438 : 157,074.75 = 157,074.75 : x
  2. Step 2: Convert to fraction form
    75,438/157,074.75 = 157,074.75/x
  3. Step 3: Cross multiply
    75,438x = 157,074.75 × 157,074.75
  4. Step 4: Simplify right side
    75,438x = 24,672,477,087.56
  5. Step 5: Solve for x
    x = 24,672,477,087.56/75,438
  6. Step 6: Final answer
    x = 327,056.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.