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Finding the Third Proportional to 138,852.38 and 287,550.75

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Solution

The third proportional to 138,852.38 and 287,550.75 is: 595,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852.38 : 287,550.75 = 287,550.75 : x
  2. Step 2: Convert to fraction form
    138,852.38/287,550.75 = 287,550.75/x
  3. Step 3: Cross multiply
    138,852.38x = 287,550.75 × 287,550.75
  4. Step 4: Simplify right side
    138,852.38x = 82,685,433,825.56
  5. Step 5: Solve for x
    x = 82,685,433,825.56/138,852.38
  6. Step 6: Final answer
    x = 595,491.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.