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Finding the Third Proportional to 133,017 and 291,903

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Solution

The third proportional to 133,017 and 291,903 is: 640,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,017 : 291,903 = 291,903 : x
  2. Step 2: Convert to fraction form
    133,017/291,903 = 291,903/x
  3. Step 3: Cross multiply
    133,017x = 291,903 × 291,903
  4. Step 4: Simplify right side
    133,017x = 85,207,361,409
  5. Step 5: Solve for x
    x = 85,207,361,409/133,017
  6. Step 6: Final answer
    x = 640,574.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.