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Finding the Third Proportional to 133,099 and 290,783

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Solution

The third proportional to 133,099 and 290,783 is: 635,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,099 : 290,783 = 290,783 : x
  2. Step 2: Convert to fraction form
    133,099/290,783 = 290,783/x
  3. Step 3: Cross multiply
    133,099x = 290,783 × 290,783
  4. Step 4: Simplify right side
    133,099x = 84,554,753,089
  5. Step 5: Solve for x
    x = 84,554,753,089/133,099
  6. Step 6: Final answer
    x = 635,277.15

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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.