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Finding the Third Proportional to 538,710.25 and 834,120.75

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Solution

The third proportional to 538,710.25 and 834,120.75 is: 1,291,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,710.25 : 834,120.75 = 834,120.75 : x
  2. Step 2: Convert to fraction form
    538,710.25/834,120.75 = 834,120.75/x
  3. Step 3: Cross multiply
    538,710.25x = 834,120.75 × 834,120.75
  4. Step 4: Simplify right side
    538,710.25x = 695,757,425,580.56
  5. Step 5: Solve for x
    x = 695,757,425,580.56/538,710.25
  6. Step 6: Final answer
    x = 1,291,524.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.