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Finding the Third Proportional to 133,640 and 290,596

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Solution

The third proportional to 133,640 and 290,596 is: 631,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,640 : 290,596 = 290,596 : x
  2. Step 2: Convert to fraction form
    133,640/290,596 = 290,596/x
  3. Step 3: Cross multiply
    133,640x = 290,596 × 290,596
  4. Step 4: Simplify right side
    133,640x = 84,446,035,216
  5. Step 5: Solve for x
    x = 84,446,035,216/133,640
  6. Step 6: Final answer
    x = 631,891.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.