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Finding the Third Proportional to 77,721.75 and 170,208

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Solution

The third proportional to 77,721.75 and 170,208 is: 372,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,721.75 : 170,208 = 170,208 : x
  2. Step 2: Convert to fraction form
    77,721.75/170,208 = 170,208/x
  3. Step 3: Cross multiply
    77,721.75x = 170,208 × 170,208
  4. Step 4: Simplify right side
    77,721.75x = 28,970,763,264
  5. Step 5: Solve for x
    x = 28,970,763,264/77,721.75
  6. Step 6: Final answer
    x = 372,749.75

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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.