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Finding the Third Proportional to 126,318 and 276,410

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Solution

The third proportional to 126,318 and 276,410 is: 604,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,318 : 276,410 = 276,410 : x
  2. Step 2: Convert to fraction form
    126,318/276,410 = 276,410/x
  3. Step 3: Cross multiply
    126,318x = 276,410 × 276,410
  4. Step 4: Simplify right side
    126,318x = 76,402,488,100
  5. Step 5: Solve for x
    x = 76,402,488,100/126,318
  6. Step 6: Final answer
    x = 604,842.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.