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Finding the Third Proportional to 135,708 and 289,450.50

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Solution

The third proportional to 135,708 and 289,450.50 is: 617,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,708 : 289,450.50 = 289,450.50 : x
  2. Step 2: Convert to fraction form
    135,708/289,450.50 = 289,450.50/x
  3. Step 3: Cross multiply
    135,708x = 289,450.50 × 289,450.50
  4. Step 4: Simplify right side
    135,708x = 83,781,591,950.25
  5. Step 5: Solve for x
    x = 83,781,591,950.25/135,708
  6. Step 6: Final answer
    x = 617,366.64

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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.