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Finding the Third Proportional to 133,911 and 291,858

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Solution

The third proportional to 133,911 and 291,858 is: 636,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911 : 291,858 = 291,858 : x
  2. Step 2: Convert to fraction form
    133,911/291,858 = 291,858/x
  3. Step 3: Cross multiply
    133,911x = 291,858 × 291,858
  4. Step 4: Simplify right side
    133,911x = 85,181,092,164
  5. Step 5: Solve for x
    x = 85,181,092,164/133,911
  6. Step 6: Final answer
    x = 636,102.28

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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.