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Finding the Third Proportional to 120,222 and 170,883

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Solution

The third proportional to 120,222 and 170,883 is: 242,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222 : 170,883 = 170,883 : x
  2. Step 2: Convert to fraction form
    120,222/170,883 = 170,883/x
  3. Step 3: Cross multiply
    120,222x = 170,883 × 170,883
  4. Step 4: Simplify right side
    120,222x = 29,200,999,689
  5. Step 5: Solve for x
    x = 29,200,999,689/120,222
  6. Step 6: Final answer
    x = 242,892.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.