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Finding the Third Proportional to 126,411 and 270,318

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Solution

The third proportional to 126,411 and 270,318 is: 578,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,411 : 270,318 = 270,318 : x
  2. Step 2: Convert to fraction form
    126,411/270,318 = 270,318/x
  3. Step 3: Cross multiply
    126,411x = 270,318 × 270,318
  4. Step 4: Simplify right side
    126,411x = 73,071,821,124
  5. Step 5: Solve for x
    x = 73,071,821,124/126,411
  6. Step 6: Final answer
    x = 578,049.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.