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Finding the Third Proportional to 132,009 and 289,350.75

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Solution

The third proportional to 132,009 and 289,350.75 is: 634,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,009 : 289,350.75 = 289,350.75 : x
  2. Step 2: Convert to fraction form
    132,009/289,350.75 = 289,350.75/x
  3. Step 3: Cross multiply
    132,009x = 289,350.75 × 289,350.75
  4. Step 4: Simplify right side
    132,009x = 83,723,856,525.56
  5. Step 5: Solve for x
    x = 83,723,856,525.56/132,009
  6. Step 6: Final answer
    x = 634,228.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.