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Finding the Third Proportional to 133,061 and 290,705

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Solution

The third proportional to 133,061 and 290,705 is: 635,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,061 : 290,705 = 290,705 : x
  2. Step 2: Convert to fraction form
    133,061/290,705 = 290,705/x
  3. Step 3: Cross multiply
    133,061x = 290,705 × 290,705
  4. Step 4: Simplify right side
    133,061x = 84,509,397,025
  5. Step 5: Solve for x
    x = 84,509,397,025/133,061
  6. Step 6: Final answer
    x = 635,117.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.