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Finding the Third Proportional to 132,109.50 and 311,804

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Solution

The third proportional to 132,109.50 and 311,804 is: 735,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,109.50 : 311,804 = 311,804 : x
  2. Step 2: Convert to fraction form
    132,109.50/311,804 = 311,804/x
  3. Step 3: Cross multiply
    132,109.50x = 311,804 × 311,804
  4. Step 4: Simplify right side
    132,109.50x = 97,221,734,416
  5. Step 5: Solve for x
    x = 97,221,734,416/132,109.50
  6. Step 6: Final answer
    x = 735,917.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.