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Finding the Third Proportional to 77,828 and 170,720

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Solution

The third proportional to 77,828 and 170,720 is: 374,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,828 : 170,720 = 170,720 : x
  2. Step 2: Convert to fraction form
    77,828/170,720 = 170,720/x
  3. Step 3: Cross multiply
    77,828x = 170,720 × 170,720
  4. Step 4: Simplify right side
    77,828x = 29,145,318,400
  5. Step 5: Solve for x
    x = 29,145,318,400/77,828
  6. Step 6: Final answer
    x = 374,483.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.