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Finding the Third Proportional to 133,636 and 290,588

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Solution

The third proportional to 133,636 and 290,588 is: 631,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,636 : 290,588 = 290,588 : x
  2. Step 2: Convert to fraction form
    133,636/290,588 = 290,588/x
  3. Step 3: Cross multiply
    133,636x = 290,588 × 290,588
  4. Step 4: Simplify right side
    133,636x = 84,441,385,744
  5. Step 5: Solve for x
    x = 84,441,385,744/133,636
  6. Step 6: Final answer
    x = 631,876.03

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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.