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Finding the Third Proportional to 120,720 and 176,760

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Solution

The third proportional to 120,720 and 176,760 is: 258,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,720 : 176,760 = 176,760 : x
  2. Step 2: Convert to fraction form
    120,720/176,760 = 176,760/x
  3. Step 3: Cross multiply
    120,720x = 176,760 × 176,760
  4. Step 4: Simplify right side
    120,720x = 31,244,097,600
  5. Step 5: Solve for x
    x = 31,244,097,600/120,720
  6. Step 6: Final answer
    x = 258,814.59

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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.