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Finding the Third Proportional to 126,210 and 277,434

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Solution

The third proportional to 126,210 and 277,434 is: 609,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,210 : 277,434 = 277,434 : x
  2. Step 2: Convert to fraction form
    126,210/277,434 = 277,434/x
  3. Step 3: Cross multiply
    126,210x = 277,434 × 277,434
  4. Step 4: Simplify right side
    126,210x = 76,969,624,356
  5. Step 5: Solve for x
    x = 76,969,624,356/126,210
  6. Step 6: Final answer
    x = 609,853.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.