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Finding the Third Proportional to 133,010 and 287,122

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Solution

The third proportional to 133,010 and 287,122 is: 619,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,010 : 287,122 = 287,122 : x
  2. Step 2: Convert to fraction form
    133,010/287,122 = 287,122/x
  3. Step 3: Cross multiply
    133,010x = 287,122 × 287,122
  4. Step 4: Simplify right side
    133,010x = 82,439,042,884
  5. Step 5: Solve for x
    x = 82,439,042,884/133,010
  6. Step 6: Final answer
    x = 619,795.83

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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.