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Finding the Third Proportional to 77,215 and 169,193

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Solution

The third proportional to 77,215 and 169,193 is: 370,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,215 : 169,193 = 169,193 : x
  2. Step 2: Convert to fraction form
    77,215/169,193 = 169,193/x
  3. Step 3: Cross multiply
    77,215x = 169,193 × 169,193
  4. Step 4: Simplify right side
    77,215x = 28,626,271,249
  5. Step 5: Solve for x
    x = 28,626,271,249/77,215
  6. Step 6: Final answer
    x = 370,734.59

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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.