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Finding the Third Proportional to 120,708 and 176,742

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Solution

The third proportional to 120,708 and 176,742 is: 258,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,708 : 176,742 = 176,742 : x
  2. Step 2: Convert to fraction form
    120,708/176,742 = 176,742/x
  3. Step 3: Cross multiply
    120,708x = 176,742 × 176,742
  4. Step 4: Simplify right side
    120,708x = 31,237,734,564
  5. Step 5: Solve for x
    x = 31,237,734,564/120,708
  6. Step 6: Final answer
    x = 258,787.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.