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Finding the Third Proportional to 81,920 and 122,316

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Solution

The third proportional to 81,920 and 122,316 is: 182,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,920 : 122,316 = 122,316 : x
  2. Step 2: Convert to fraction form
    81,920/122,316 = 122,316/x
  3. Step 3: Cross multiply
    81,920x = 122,316 × 122,316
  4. Step 4: Simplify right side
    81,920x = 14,961,203,856
  5. Step 5: Solve for x
    x = 14,961,203,856/81,920
  6. Step 6: Final answer
    x = 182,631.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.