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Finding the Third Proportional to 132,759 and 288,841.50

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Solution

The third proportional to 132,759 and 288,841.50 is: 628,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,759 : 288,841.50 = 288,841.50 : x
  2. Step 2: Convert to fraction form
    132,759/288,841.50 = 288,841.50/x
  3. Step 3: Cross multiply
    132,759x = 288,841.50 × 288,841.50
  4. Step 4: Simplify right side
    132,759x = 83,429,412,122.25
  5. Step 5: Solve for x
    x = 83,429,412,122.25/132,759
  6. Step 6: Final answer
    x = 628,427.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.