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Finding the Third Proportional to 547,278 and 818,721

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Solution

The third proportional to 547,278 and 818,721 is: 1,224,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,278 : 818,721 = 818,721 : x
  2. Step 2: Convert to fraction form
    547,278/818,721 = 818,721/x
  3. Step 3: Cross multiply
    547,278x = 818,721 × 818,721
  4. Step 4: Simplify right side
    547,278x = 670,304,075,841
  5. Step 5: Solve for x
    x = 670,304,075,841/547,278
  6. Step 6: Final answer
    x = 1,224,796.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.