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Finding the Third Proportional to 543,134.25 and 821,692.13

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Solution

The third proportional to 543,134.25 and 821,692.13 is: 1,243,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,134.25 : 821,692.13 = 821,692.13 : x
  2. Step 2: Convert to fraction form
    543,134.25/821,692.13 = 821,692.13/x
  3. Step 3: Cross multiply
    543,134.25x = 821,692.13 × 821,692.13
  4. Step 4: Simplify right side
    543,134.25x = 675,177,948,287.02
  5. Step 5: Solve for x
    x = 675,177,948,287.02/543,134.25
  6. Step 6: Final answer
    x = 1,243,114.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.