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Finding the Third Proportional to 81,564 and 120,830

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Solution

The third proportional to 81,564 and 120,830 is: 178,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,564 : 120,830 = 120,830 : x
  2. Step 2: Convert to fraction form
    81,564/120,830 = 120,830/x
  3. Step 3: Cross multiply
    81,564x = 120,830 × 120,830
  4. Step 4: Simplify right side
    81,564x = 14,599,888,900
  5. Step 5: Solve for x
    x = 14,599,888,900/81,564
  6. Step 6: Final answer
    x = 178,999.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.