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Finding the Third Proportional to 133,085 and 290,753

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Solution

The third proportional to 133,085 and 290,753 is: 635,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 290,753 = 290,753 : x
  2. Step 2: Convert to fraction form
    133,085/290,753 = 290,753/x
  3. Step 3: Cross multiply
    133,085x = 290,753 × 290,753
  4. Step 4: Simplify right side
    133,085x = 84,537,307,009
  5. Step 5: Solve for x
    x = 84,537,307,009/133,085
  6. Step 6: Final answer
    x = 635,212.89

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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.