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Finding the Third Proportional to 120,848 and 186,739

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Solution

The third proportional to 120,848 and 186,739 is: 288,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,848 : 186,739 = 186,739 : x
  2. Step 2: Convert to fraction form
    120,848/186,739 = 186,739/x
  3. Step 3: Cross multiply
    120,848x = 186,739 × 186,739
  4. Step 4: Simplify right side
    120,848x = 34,871,454,121
  5. Step 5: Solve for x
    x = 34,871,454,121/120,848
  6. Step 6: Final answer
    x = 288,556.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.