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Finding the Third Proportional to 137,355.75 and 289,716.75

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Solution

The third proportional to 137,355.75 and 289,716.75 is: 611,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,355.75 : 289,716.75 = 289,716.75 : x
  2. Step 2: Convert to fraction form
    137,355.75/289,716.75 = 289,716.75/x
  3. Step 3: Cross multiply
    137,355.75x = 289,716.75 × 289,716.75
  4. Step 4: Simplify right side
    137,355.75x = 83,935,795,230.56
  5. Step 5: Solve for x
    x = 83,935,795,230.56/137,355.75
  6. Step 6: Final answer
    x = 611,083.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.