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Finding the Third Proportional to 133,965 and 288,962

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Solution

The third proportional to 133,965 and 288,962 is: 623,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,965 : 288,962 = 288,962 : x
  2. Step 2: Convert to fraction form
    133,965/288,962 = 288,962/x
  3. Step 3: Cross multiply
    133,965x = 288,962 × 288,962
  4. Step 4: Simplify right side
    133,965x = 83,499,037,444
  5. Step 5: Solve for x
    x = 83,499,037,444/133,965
  6. Step 6: Final answer
    x = 623,289.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.