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Finding the Third Proportional to 277,278 and 591,420

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Solution

The third proportional to 277,278 and 591,420 is: 1,261,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,278 : 591,420 = 591,420 : x
  2. Step 2: Convert to fraction form
    277,278/591,420 = 591,420/x
  3. Step 3: Cross multiply
    277,278x = 591,420 × 591,420
  4. Step 4: Simplify right side
    277,278x = 349,777,616,400
  5. Step 5: Solve for x
    x = 349,777,616,400/277,278
  6. Step 6: Final answer
    x = 1,261,469.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.