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Finding the Third Proportional to 133,090 and 291,945

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Solution

The third proportional to 133,090 and 291,945 is: 640,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,090 : 291,945 = 291,945 : x
  2. Step 2: Convert to fraction form
    133,090/291,945 = 291,945/x
  3. Step 3: Cross multiply
    133,090x = 291,945 × 291,945
  4. Step 4: Simplify right side
    133,090x = 85,231,883,025
  5. Step 5: Solve for x
    x = 85,231,883,025/133,090
  6. Step 6: Final answer
    x = 640,407.87

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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.