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Finding the Third Proportional to 133,569 and 290,466

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Solution

The third proportional to 133,569 and 290,466 is: 631,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,569 : 290,466 = 290,466 : x
  2. Step 2: Convert to fraction form
    133,569/290,466 = 290,466/x
  3. Step 3: Cross multiply
    133,569x = 290,466 × 290,466
  4. Step 4: Simplify right side
    133,569x = 84,370,497,156
  5. Step 5: Solve for x
    x = 84,370,497,156/133,569
  6. Step 6: Final answer
    x = 631,662.27

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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.