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Finding the Third Proportional to 135,707 and 289,450

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Solution

The third proportional to 135,707 and 289,450 is: 617,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,707 : 289,450 = 289,450 : x
  2. Step 2: Convert to fraction form
    135,707/289,450 = 289,450/x
  3. Step 3: Cross multiply
    135,707x = 289,450 × 289,450
  4. Step 4: Simplify right side
    135,707x = 83,781,302,500
  5. Step 5: Solve for x
    x = 83,781,302,500/135,707
  6. Step 6: Final answer
    x = 617,369.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.