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Finding the Third Proportional to 133,644 and 290,604

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Solution

The third proportional to 133,644 and 290,604 is: 631,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,644 : 290,604 = 290,604 : x
  2. Step 2: Convert to fraction form
    133,644/290,604 = 290,604/x
  3. Step 3: Cross multiply
    133,644x = 290,604 × 290,604
  4. Step 4: Simplify right side
    133,644x = 84,450,684,816
  5. Step 5: Solve for x
    x = 84,450,684,816/133,644
  6. Step 6: Final answer
    x = 631,907.79

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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.