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Finding the Third Proportional to 132,120 and 290,484

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Solution

The third proportional to 132,120 and 290,484 is: 638,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,120 : 290,484 = 290,484 : x
  2. Step 2: Convert to fraction form
    132,120/290,484 = 290,484/x
  3. Step 3: Cross multiply
    132,120x = 290,484 × 290,484
  4. Step 4: Simplify right side
    132,120x = 84,380,954,256
  5. Step 5: Solve for x
    x = 84,380,954,256/132,120
  6. Step 6: Final answer
    x = 638,669.05

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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.