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Finding the Third Proportional to 132,144 and 290,424

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Solution

The third proportional to 132,144 and 290,424 is: 638,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,144 : 290,424 = 290,424 : x
  2. Step 2: Convert to fraction form
    132,144/290,424 = 290,424/x
  3. Step 3: Cross multiply
    132,144x = 290,424 × 290,424
  4. Step 4: Simplify right side
    132,144x = 84,346,099,776
  5. Step 5: Solve for x
    x = 84,346,099,776/132,144
  6. Step 6: Final answer
    x = 638,289.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.