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Finding the Third Proportional to 132,966 and 290,964

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Solution

The third proportional to 132,966 and 290,964 is: 636,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,966 : 290,964 = 290,964 : x
  2. Step 2: Convert to fraction form
    132,966/290,964 = 290,964/x
  3. Step 3: Cross multiply
    132,966x = 290,964 × 290,964
  4. Step 4: Simplify right side
    132,966x = 84,660,049,296
  5. Step 5: Solve for x
    x = 84,660,049,296/132,966
  6. Step 6: Final answer
    x = 636,704.49

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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.