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Finding the Third Proportional to 133,452 and 289,980

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Solution

The third proportional to 133,452 and 289,980 is: 630,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,452 : 289,980 = 289,980 : x
  2. Step 2: Convert to fraction form
    133,452/289,980 = 289,980/x
  3. Step 3: Cross multiply
    133,452x = 289,980 × 289,980
  4. Step 4: Simplify right side
    133,452x = 84,088,400,400
  5. Step 5: Solve for x
    x = 84,088,400,400/133,452
  6. Step 6: Final answer
    x = 630,102.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.