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Finding the Third Proportional to 157,920 and 217,104

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Solution

The third proportional to 157,920 and 217,104 is: 298,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920 : 217,104 = 217,104 : x
  2. Step 2: Convert to fraction form
    157,920/217,104 = 217,104/x
  3. Step 3: Cross multiply
    157,920x = 217,104 × 217,104
  4. Step 4: Simplify right side
    157,920x = 47,134,146,816
  5. Step 5: Solve for x
    x = 47,134,146,816/157,920
  6. Step 6: Final answer
    x = 298,468.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.