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Finding the Third Proportional to 132,704 and 290,240

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Solution

The third proportional to 132,704 and 290,240 is: 634,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,704 : 290,240 = 290,240 : x
  2. Step 2: Convert to fraction form
    132,704/290,240 = 290,240/x
  3. Step 3: Cross multiply
    132,704x = 290,240 × 290,240
  4. Step 4: Simplify right side
    132,704x = 84,239,257,600
  5. Step 5: Solve for x
    x = 84,239,257,600/132,704
  6. Step 6: Final answer
    x = 634,790.64

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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.