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Finding the Third Proportional to 132,228 and 290,706

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Solution

The third proportional to 132,228 and 290,706 is: 639,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,228 : 290,706 = 290,706 : x
  2. Step 2: Convert to fraction form
    132,228/290,706 = 290,706/x
  3. Step 3: Cross multiply
    132,228x = 290,706 × 290,706
  4. Step 4: Simplify right side
    132,228x = 84,509,978,436
  5. Step 5: Solve for x
    x = 84,509,978,436/132,228
  6. Step 6: Final answer
    x = 639,123.17

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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.