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Finding the Third Proportional to 75,099 and 140,739

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Solution

The third proportional to 75,099 and 140,739 is: 263,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099 : 140,739 = 140,739 : x
  2. Step 2: Convert to fraction form
    75,099/140,739 = 140,739/x
  3. Step 3: Cross multiply
    75,099x = 140,739 × 140,739
  4. Step 4: Simplify right side
    75,099x = 19,807,466,121
  5. Step 5: Solve for x
    x = 19,807,466,121/75,099
  6. Step 6: Final answer
    x = 263,751.40

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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.