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Finding the Third Proportional to 133,450 and 290,132

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Solution

The third proportional to 133,450 and 290,132 is: 630,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,450 : 290,132 = 290,132 : x
  2. Step 2: Convert to fraction form
    133,450/290,132 = 290,132/x
  3. Step 3: Cross multiply
    133,450x = 290,132 × 290,132
  4. Step 4: Simplify right side
    133,450x = 84,176,577,424
  5. Step 5: Solve for x
    x = 84,176,577,424/133,450
  6. Step 6: Final answer
    x = 630,772.40

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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.