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Finding the Third Proportional to 137,450 and 289,652

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Solution

The third proportional to 137,450 and 289,652 is: 610,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,450 : 289,652 = 289,652 : x
  2. Step 2: Convert to fraction form
    137,450/289,652 = 289,652/x
  3. Step 3: Cross multiply
    137,450x = 289,652 × 289,652
  4. Step 4: Simplify right side
    137,450x = 83,898,281,104
  5. Step 5: Solve for x
    x = 83,898,281,104/137,450
  6. Step 6: Final answer
    x = 610,391.28

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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.