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Finding the Third Proportional to 207,786 and 277,308

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Solution

The third proportional to 207,786 and 277,308 is: 370,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,786 : 277,308 = 277,308 : x
  2. Step 2: Convert to fraction form
    207,786/277,308 = 277,308/x
  3. Step 3: Cross multiply
    207,786x = 277,308 × 277,308
  4. Step 4: Simplify right side
    207,786x = 76,899,726,864
  5. Step 5: Solve for x
    x = 76,899,726,864/207,786
  6. Step 6: Final answer
    x = 370,090.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.