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Finding the Third Proportional to 275,039.50 and 437,642.13

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Solution

The third proportional to 275,039.50 and 437,642.13 is: 696,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,039.50 : 437,642.13 = 437,642.13 : x
  2. Step 2: Convert to fraction form
    275,039.50/437,642.13 = 437,642.13/x
  3. Step 3: Cross multiply
    275,039.50x = 437,642.13 × 437,642.13
  4. Step 4: Simplify right side
    275,039.50x = 191,530,629,574.52
  5. Step 5: Solve for x
    x = 191,530,629,574.52/275,039.50
  6. Step 6: Final answer
    x = 696,374.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.