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Finding the Third Proportional to 80,213 and 91,877

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Solution

The third proportional to 80,213 and 91,877 is: 105,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,213 : 91,877 = 91,877 : x
  2. Step 2: Convert to fraction form
    80,213/91,877 = 91,877/x
  3. Step 3: Cross multiply
    80,213x = 91,877 × 91,877
  4. Step 4: Simplify right side
    80,213x = 8,441,383,129
  5. Step 5: Solve for x
    x = 8,441,383,129/80,213
  6. Step 6: Final answer
    x = 105,237.10

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.