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Finding the Third Proportional to 133,045 and 291,961

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Solution

The third proportional to 133,045 and 291,961 is: 640,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,045 : 291,961 = 291,961 : x
  2. Step 2: Convert to fraction form
    133,045/291,961 = 291,961/x
  3. Step 3: Cross multiply
    133,045x = 291,961 × 291,961
  4. Step 4: Simplify right side
    133,045x = 85,241,225,521
  5. Step 5: Solve for x
    x = 85,241,225,521/133,045
  6. Step 6: Final answer
    x = 640,694.69

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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.