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Finding the Third Proportional to 172,920 and 376,140

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Solution

The third proportional to 172,920 and 376,140 is: 818,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,920 : 376,140 = 376,140 : x
  2. Step 2: Convert to fraction form
    172,920/376,140 = 376,140/x
  3. Step 3: Cross multiply
    172,920x = 376,140 × 376,140
  4. Step 4: Simplify right side
    172,920x = 141,481,299,600
  5. Step 5: Solve for x
    x = 141,481,299,600/172,920
  6. Step 6: Final answer
    x = 818,189.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.