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Finding the Third Proportional to 277,080 and 396,240

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Solution

The third proportional to 277,080 and 396,240 is: 566,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,080 : 396,240 = 396,240 : x
  2. Step 2: Convert to fraction form
    277,080/396,240 = 396,240/x
  3. Step 3: Cross multiply
    277,080x = 396,240 × 396,240
  4. Step 4: Simplify right side
    277,080x = 157,006,137,600
  5. Step 5: Solve for x
    x = 157,006,137,600/277,080
  6. Step 6: Final answer
    x = 566,645.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.