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Finding the Third Proportional to 120,828 and 177,678

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Solution

The third proportional to 120,828 and 177,678 is: 261,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,828 : 177,678 = 177,678 : x
  2. Step 2: Convert to fraction form
    120,828/177,678 = 177,678/x
  3. Step 3: Cross multiply
    120,828x = 177,678 × 177,678
  4. Step 4: Simplify right side
    120,828x = 31,569,471,684
  5. Step 5: Solve for x
    x = 31,569,471,684/120,828
  6. Step 6: Final answer
    x = 261,276.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.