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Finding the Third Proportional to 265,836 and 379,170

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Solution

The third proportional to 265,836 and 379,170 is: 540,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,836 : 379,170 = 379,170 : x
  2. Step 2: Convert to fraction form
    265,836/379,170 = 379,170/x
  3. Step 3: Cross multiply
    265,836x = 379,170 × 379,170
  4. Step 4: Simplify right side
    265,836x = 143,769,888,900
  5. Step 5: Solve for x
    x = 143,769,888,900/265,836
  6. Step 6: Final answer
    x = 540,821.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.