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Finding the Third Proportional to 275,182 and 380,239

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Solution

The third proportional to 275,182 and 380,239 is: 525,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,182 : 380,239 = 380,239 : x
  2. Step 2: Convert to fraction form
    275,182/380,239 = 380,239/x
  3. Step 3: Cross multiply
    275,182x = 380,239 × 380,239
  4. Step 4: Simplify right side
    275,182x = 144,581,697,121
  5. Step 5: Solve for x
    x = 144,581,697,121/275,182
  6. Step 6: Final answer
    x = 525,403.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.