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Finding the Third Proportional to 133,050 and 285,786

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Solution

The third proportional to 133,050 and 285,786 is: 613,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 285,786 = 285,786 : x
  2. Step 2: Convert to fraction form
    133,050/285,786 = 285,786/x
  3. Step 3: Cross multiply
    133,050x = 285,786 × 285,786
  4. Step 4: Simplify right side
    133,050x = 81,673,637,796
  5. Step 5: Solve for x
    x = 81,673,637,796/133,050
  6. Step 6: Final answer
    x = 613,856.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.