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Finding the Third Proportional to 75,102 and 140,745

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Solution

The third proportional to 75,102 and 140,745 is: 263,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102 : 140,745 = 140,745 : x
  2. Step 2: Convert to fraction form
    75,102/140,745 = 140,745/x
  3. Step 3: Cross multiply
    75,102x = 140,745 × 140,745
  4. Step 4: Simplify right side
    75,102x = 19,809,155,025
  5. Step 5: Solve for x
    x = 19,809,155,025/75,102
  6. Step 6: Final answer
    x = 263,763.35

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.