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Finding the Third Proportional to 137,107.69 and 289,185.19

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Solution

The third proportional to 137,107.69 and 289,185.19 is: 609,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,107.69 : 289,185.19 = 289,185.19 : x
  2. Step 2: Convert to fraction form
    137,107.69/289,185.19 = 289,185.19/x
  3. Step 3: Cross multiply
    137,107.69x = 289,185.19 × 289,185.19
  4. Step 4: Simplify right side
    137,107.69x = 83,628,072,669.41
  5. Step 5: Solve for x
    x = 83,628,072,669.41/137,107.69
  6. Step 6: Final answer
    x = 609,944.45

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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.