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Finding the Third Proportional to 133,073 and 287,467

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Solution

The third proportional to 133,073 and 287,467 is: 620,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073 : 287,467 = 287,467 : x
  2. Step 2: Convert to fraction form
    133,073/287,467 = 287,467/x
  3. Step 3: Cross multiply
    133,073x = 287,467 × 287,467
  4. Step 4: Simplify right side
    133,073x = 82,637,276,089
  5. Step 5: Solve for x
    x = 82,637,276,089/133,073
  6. Step 6: Final answer
    x = 620,992.06

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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.