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Finding the Third Proportional to 133,051 and 285,787

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Solution

The third proportional to 133,051 and 285,787 is: 613,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051 : 285,787 = 285,787 : x
  2. Step 2: Convert to fraction form
    133,051/285,787 = 285,787/x
  3. Step 3: Cross multiply
    133,051x = 285,787 × 285,787
  4. Step 4: Simplify right side
    133,051x = 81,674,209,369
  5. Step 5: Solve for x
    x = 81,674,209,369/133,051
  6. Step 6: Final answer
    x = 613,856.41

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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.