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Finding the Third Proportional to 133,440 and 290,112

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Solution

The third proportional to 133,440 and 290,112 is: 630,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,440 : 290,112 = 290,112 : x
  2. Step 2: Convert to fraction form
    133,440/290,112 = 290,112/x
  3. Step 3: Cross multiply
    133,440x = 290,112 × 290,112
  4. Step 4: Simplify right side
    133,440x = 84,164,972,544
  5. Step 5: Solve for x
    x = 84,164,972,544/133,440
  6. Step 6: Final answer
    x = 630,732.71

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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.